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Solution
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Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
The solution of $(x+\log y) d y+y d x=0$ when $y(0)=1$ is
The solution of $(x+\log y) d y+y d x=0$ when $y(0)=1$ is
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
The order of the differential equation $\frac{d}{d x}\left[\left(\frac{d y}{d x}\right)^3\right]=0$ is
The order of the differential equation $\frac{d}{d x}\left[\left(\frac{d y}{d x}\right)^3\right]=0$ is
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
Find the value of $\lim\limits_{h \rightarrow 0} \frac{(a+h)^2 \sin (a+h)-a^2 \sin a}{h}$
Find the value of $\lim\limits_{h \rightarrow 0} \frac{(a+h)^2 \sin (a+h)-a^2 \sin a}{h}$
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
$0.2+0.22+0.022+\ldots \ldots \ldots$. up to $n$ terms is equal to
$0.2+0.22+0.022+\ldots \ldots \ldots$. up to $n$ terms is equal to
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
The solution set of the system of inequalities $5-4 x \leq-7$ or $5-4 x \geq 7, x \in R$ is
The solution set of the system of inequalities $5-4 x \leq-7$ or $5-4 x \geq 7, x \in R$ is
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
$-\frac{2 \pi}{5}$ is the principal value of
$-\frac{2 \pi}{5}$ is the principal value of
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
The digits of a three-digit number taken in an order are in geometric progression. If one is added to the middle digit, they form an arithmetic progression. If 594 is subtracted from the number, then a new number with the same digits in reverse order is formed. The original number is divisible by
The digits of a three-digit number taken in an order are in geometric progression. If one is added to the middle digit, they form an arithmetic progression. If 594 is subtracted from the number, then a new number with the same digits in reverse order is formed. The original number is divisible by
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
The least value of ' $a$ ' such that the function $x^2+a x+1$ is increasing on $[1,2]$ is
The least value of ' $a$ ' such that the function $x^2+a x+1$ is increasing on $[1,2]$ is
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
Three fair dice are thrown. What is the probability of getting a total of 15 given that they exhibit three different numbers that are in arithmetic progression?
Three fair dice are thrown. What is the probability of getting a total of 15 given that they exhibit three different numbers that are in arithmetic progression?
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
The variance of 25 observations is 8 . If each observation is multiplied by 3 , then the new variance of the resulting observations is
The variance of 25 observations is 8 . If each observation is multiplied by 3 , then the new variance of the resulting observations is
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
P is a point on the line joining the points $(3,5,-1)$ and $(6,3,-2)$. If $y$ coordinate of point P is 2 , then $x$ coordinate will be
P is a point on the line joining the points $(3,5,-1)$ and $(6,3,-2)$. If $y$ coordinate of point P is 2 , then $x$ coordinate will be
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
If $\vec{a}, \vec{b}, \vec{c}$ are three vectors such that $a \neq 0$ and $\vec{a} \times \vec{b}=2(\vec{a} \times \vec{c}),|\vec{a}|=|\vec{c}|=1,|\vec{b}|=4$ and $|\vec{b} \times \vec{c}|=\sqrt{15}$ if $\vec{b}-2 \vec{c}=\lambda \vec{a}$ then $\lambda^2$ equals :
If $\vec{a}, \vec{b}, \vec{c}$ are three vectors such that $a \neq 0$ and $\vec{a} \times \vec{b}=2(\vec{a} \times \vec{c}),|\vec{a}|=|\vec{c}|=1,|\vec{b}|=4$ and $|\vec{b} \times \vec{c}|=\sqrt{15}$ if $\vec{b}-2 \vec{c}=\lambda \vec{a}$ then $\lambda^2$ equals :
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
The general solution of the differential equation $(x-y) d y=(x+y) d x$ is
The general solution of the differential equation $(x-y) d y=(x+y) d x$ is
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
A line $L_1$ passes through the points $(h, k),(1,2)$ and $(-3,4)$. The points $(4,3)$ and $(h, k)$ lie on the line $L_2$. Given $L_1 \perp L_2$ then $(k-h)$ equals to
A line $L_1$ passes through the points $(h, k),(1,2)$ and $(-3,4)$. The points $(4,3)$ and $(h, k)$ lie on the line $L_2$. Given $L_1 \perp L_2$ then $(k-h)$ equals to
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
Let $M$ be the set of all $2 \times 2$ matrices with entries from the set R of real numbers. Then the function $f: M \rightarrow R$ defined by $f(A)=|A|$ for every $A \in M$ is
Let $M$ be the set of all $2 \times 2$ matrices with entries from the set R of real numbers. Then the function $f: M \rightarrow R$ defined by $f(A)=|A|$ for every $A \in M$ is
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
The sum of three numbers is 6 . Twice the third number, when added to the first number gives 7 , On adding the sum of the second and third numbers to thrice the first number, we get 12 . The above situation can be represented in matrix form as $A X=B$. Then the $|\operatorname{adj} A|$ is equal to
The sum of three numbers is 6 . Twice the third number, when added to the first number gives 7 , On adding the sum of the second and third numbers to thrice the first number, we get 12 . The above situation can be represented in matrix form as $A X=B$. Then the $|\operatorname{adj} A|$ is equal to
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
$\int \frac{1}{\sqrt{9+8 x-x^2}} d x=\varphi(x)+c$ then $\varphi(x)=$
$\int \frac{1}{\sqrt{9+8 x-x^2}} d x=\varphi(x)+c$ then $\varphi(x)=$
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
A person writes four letters and address four envelopes. If the letters are placed in the envelopes at random, then the probability that not all letters are placed in the right envelope is
A person writes four letters and address four envelopes. If the letters are placed in the envelopes at random, then the probability that not all letters are placed in the right envelope is
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
$\int \tan ^2\left(5-\frac{x}{2}\right) d x=$
$\int \tan ^2\left(5-\frac{x}{2}\right) d x=$
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
If $f(x)=\left(\frac{3+x}{1+x}\right)^{2+3 x}$, then $f^{\prime}(0)=$
If $f(x)=\left(\frac{3+x}{1+x}\right)^{2+3 x}$, then $f^{\prime}(0)=$
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
If $A(t)=\left[\begin{array}{cc}\cos t & \sin t \\ -\sin t & \cos t\end{array}\right]$ then the product of $A(t)$ and $A(-t)$ is
If $A(t)=\left[\begin{array}{cc}\cos t & \sin t \\ -\sin t & \cos t\end{array}\right]$ then the product of $A(t)$ and $A(-t)$ is
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
If $A=\left[\begin{array}{cc}1 & -2 \\ 4 & 5\end{array}\right] ; f(t)=t^2-3 t+7$ then $f(A)+\left[\begin{array}{cc}3 & 6 \\ -12 & -9\end{array}\right]=$
If $A=\left[\begin{array}{cc}1 & -2 \\ 4 & 5\end{array}\right] ; f(t)=t^2-3 t+7$ then $f(A)+\left[\begin{array}{cc}3 & 6 \\ -12 & -9\end{array}\right]=$
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
Codes used for vehicle identification consists of two distinct English alphabets followed by two distinct digits from 1 to 9 . How many of them end with an even number.
Codes used for vehicle identification consists of two distinct English alphabets followed by two distinct digits from 1 to 9 . How many of them end with an even number.
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
Equation of a circle whose area is 154 sq units and having $2 x-3 y+12=0$ and $x+4 y-5=0$ as diameters is
Equation of a circle whose area is 154 sq units and having $2 x-3 y+12=0$ and $x+4 y-5=0$ as diameters is
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
If $y=\sqrt{\frac{x}{a}}+\sqrt{\frac{a}{x}}, \quad$ then $2 x y \frac{d y}{d x}$ is equal to
If $y=\sqrt{\frac{x}{a}}+\sqrt{\frac{a}{x}}, \quad$ then $2 x y \frac{d y}{d x}$ is equal to
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
Let $A$ and $B$ be two events such that one of the two events must occur. Given that the chance of occurrence of $A$ is $\frac{2}{3}$ the chance of occurrence of $B$, then odds in favour of $B$ is
Let $A$ and $B$ be two events such that one of the two events must occur. Given that the chance of occurrence of $A$ is $\frac{2}{3}$ the chance of occurrence of $B$, then odds in favour of $B$ is
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
For two matrices $A$ and $B$, given that $A^{-1}=\frac{1}{8} B$ then inverse of $(8 A)$ is
For two matrices $A$ and $B$, given that $A^{-1}=\frac{1}{8} B$ then inverse of $(8 A)$ is
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
Distance of the point $(-2,3)$ from the line $12 x-5 y-2=0$ is $\frac{41}{k}$. Then the value of $k$ is
Distance of the point $(-2,3)$ from the line $12 x-5 y-2=0$ is $\frac{41}{k}$. Then the value of $k$ is
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
If $\sin A+\sin B=-\frac{21}{65}, \cos A+\cos B=-\frac{27}{65}$ and $\pi
If $\sin A+\sin B=-\frac{21}{65}, \cos A+\cos B=-\frac{27}{65}$ and $\pi
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
If $A=\left[\begin{array}{ccc}0 & 1 & -2 \\ -1 & 0 & 3 \\ 2 & -3 & 0\end{array}\right]$ then $A^{-1}$
If $A=\left[\begin{array}{ccc}0 & 1 & -2 \\ -1 & 0 & 3 \\ 2 & -3 & 0\end{array}\right]$ then $A^{-1}$
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
Area of the region bounded by the curve $y=\sin \left(\frac{x}{2}\right)$ between $-4 \pi$ and 0 is
Area of the region bounded by the curve $y=\sin \left(\frac{x}{2}\right)$ between $-4 \pi$ and 0 is
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
$\int \log x^2 d x=$
$\int \log x^2 d x=$
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
The value of $\lambda$ for which the angle between lines $\vec{r}=\hat{\imath}+\hat{\jmath}+\hat{k}+p(2 \hat{\imath}+\hat{\jmath}+2 \hat{k})$ and $\vec{r}=(1+q) \hat{\imath}+(1+q \lambda) \hat{\jmath}+(1+q) \hat{k}$ is $\frac{\pi}{2}$
The value of $\lambda$ for which the angle between lines $\vec{r}=\hat{\imath}+\hat{\jmath}+\hat{k}+p(2 \hat{\imath}+\hat{\jmath}+2 \hat{k})$ and $\vec{r}=(1+q) \hat{\imath}+(1+q \lambda) \hat{\jmath}+(1+q) \hat{k}$ is $\frac{\pi}{2}$
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
The value of $\frac{1}{2 \sin 10^{\circ}}-2 \sin 70^{\circ}$ is
The value of $\frac{1}{2 \sin 10^{\circ}}-2 \sin 70^{\circ}$ is
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
If two vertices of a triangle are $(3,-2)$ and $(-2,3)$ and its orthocentre is $(-6,1)$. Then the difference between ordinate and abscissa of the third vertex of the triangle is
If two vertices of a triangle are $(3,-2)$ and $(-2,3)$ and its orthocentre is $(-6,1)$. Then the difference between ordinate and abscissa of the third vertex of the triangle is
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
The area bounded by the parabola $y^2=36 x$ and its latus rectum is
The area bounded by the parabola $y^2=36 x$ and its latus rectum is
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
If $n(A)=3$ and $n(B)=7$ and $A \subseteq B$ then the number of elements in $A \cap B$ is equal to
If $n(A)=3$ and $n(B)=7$ and $A \subseteq B$ then the number of elements in $A \cap B$ is equal to
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
If $y=\sin ^{-1}\left(\frac{1}{\sqrt{x+1}}\right)$ then $\frac{d y}{d x}=$
If $y=\sin ^{-1}\left(\frac{1}{\sqrt{x+1}}\right)$ then $\frac{d y}{d x}=$
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
$\int_0^\pi \frac{e^{\cos x}}{e^{\cos x}+e^{-\cos x}} d x$ is equal to
$\int_0^\pi \frac{e^{\cos x}}{e^{\cos x}+e^{-\cos x}} d x$ is equal to
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
The range of $x$ for which the equation $\sin ^{-1}\left(\frac{2 x}{1+x^2}\right)=2 \tan ^{-1} x$ holds true
The range of $x$ for which the equation $\sin ^{-1}\left(\frac{2 x}{1+x^2}\right)=2 \tan ^{-1} x$ holds true
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
A spherical snowball is melting such that its volume is decreasing at the rate of $1 \mathrm{~cm}^3 / \mathrm{min}$. The rate at which the diameter is decreasing when the diameter is 10 cm is
A spherical snowball is melting such that its volume is decreasing at the rate of $1 \mathrm{~cm}^3 / \mathrm{min}$. The rate at which the diameter is decreasing when the diameter is 10 cm is
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt

For a given Linear Programming problem, the objective function is

$$z=3 x+2 y$$

Subject to constraints are

$$\begin{aligned} & 4 x+3 y \leq 60 \\ & x \geq 3 \\ & y \leq 2 x \\ & y \geq 0 \end{aligned}$$

P is one of the corner points of the feasible region for the given Linear Programming problem. Then the coordinate of P is

For a given Linear Programming problem, the objective function is

$$z=3 x+2 y$$

Subject to constraints are

$$\begin{aligned} & 4 x+3 y \leq 60 \\ & x \geq 3 \\ & y \leq 2 x \\ & y \geq 0 \end{aligned}$$

P is one of the corner points of the feasible region for the given Linear Programming problem. Then the coordinate of P is
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
The curve $a x^3+b x^2+c x+d$ has a point of minima at $x=1$, then
The curve $a x^3+b x^2+c x+d$ has a point of minima at $x=1$, then
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
If $\tan x^{\circ} \tan 2^{\circ} \tan 3^{\circ} \ldots \ldots \ldots \ldots . . \tan 88^{\circ} \tan y^{\circ}=1$ then $\cot (x+y)=$
If $\tan x^{\circ} \tan 2^{\circ} \tan 3^{\circ} \ldots \ldots \ldots \ldots . . \tan 88^{\circ} \tan y^{\circ}=1$ then $\cot (x+y)=$
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
Vasant and Jothi play a game with a coin. Vasant stakes ₹ 1 and throw the coins four times. If he throws four heads, he gets his stake and ₹3 from Jothi. If he throws only three heads and they are consecutive, he gets his stake and ₹2 from Jothi. If he throws only two heads and they are consecutive, he gets his stake and ₹1 from Jothi. In all other cases Jothi takes the stake money. Find the expectation of Vasant's gain.
Vasant and Jothi play a game with a coin. Vasant stakes ₹ 1 and throw the coins four times. If he throws four heads, he gets his stake and ₹3 from Jothi. If he throws only three heads and they are consecutive, he gets his stake and ₹2 from Jothi. If he throws only two heads and they are consecutive, he gets his stake and ₹1 from Jothi. In all other cases Jothi takes the stake money. Find the expectation of Vasant's gain.
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
The solution of the differential equation $\frac{d y}{d x}+y \log y \cot x=0$ is
The solution of the differential equation $\frac{d y}{d x}+y \log y \cot x=0$ is
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
A shopkeeper sells three varieties of fruit juice. He has a large number of bottles of same size of each variety. The number of different ways of displaying all the three varieties on the shelf with 5 places in a row and each display must have at least one bottle of each variety is
A shopkeeper sells three varieties of fruit juice. He has a large number of bottles of same size of each variety. The number of different ways of displaying all the three varieties on the shelf with 5 places in a row and each display must have at least one bottle of each variety is
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
The value of $\lim _\limits{x \rightarrow 0} \frac{(1-x)^n-1}{x}=$
The value of $\lim _\limits{x \rightarrow 0} \frac{(1-x)^n-1}{x}=$
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
If $f(x)=\left\{\begin{array}{ll}\frac{1-x^m}{1-x} & \text { if } x \neq 1 \\ 2 m-1 & \text { if } x=1\end{array}\right.$ and the function is discontinuous at $x=1$, then
If $f(x)=\left\{\begin{array}{ll}\frac{1-x^m}{1-x} & \text { if } x \neq 1 \\ 2 m-1 & \text { if } x=1\end{array}\right.$ and the function is discontinuous at $x=1$, then
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
$\int \frac{d x}{(x+2)\left(x^2+1\right)}=p \log |x+2|+q \log \left|x^2+1\right|+r \tan ^{-1} x+c$ then $p+q+r=$
$\int \frac{d x}{(x+2)\left(x^2+1\right)}=p \log |x+2|+q \log \left|x^2+1\right|+r \tan ^{-1} x+c$ then $p+q+r=$
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt
Let R be a relation on natural numbers defined by $x+2 y=8, x, y \in N$. The domain of R is
Let R be a relation on natural numbers defined by $x+2 y=8, x, y \in N$. The domain of R is
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
Oil from a conical funnel is dripping at the rate of $5 \mathrm{~cm}^3 / \mathrm{s}$. If the radius and height of the funnel are 10 cm and 20 cm respectively, then the rate at which the oil level drops when it is 5 cm from the top is
Oil from a conical funnel is dripping at the rate of $5 \mathrm{~cm}^3 / \mathrm{s}$. If the radius and height of the funnel are 10 cm and 20 cm respectively, then the rate at which the oil level drops when it is 5 cm from the top is
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
If the third and fourth terms in the expansion $\left(2 x+\frac{1}{8}\right)^{10}$ are equal, then the value of $x$ is __________
If the third and fourth terms in the expansion $\left(2 x+\frac{1}{8}\right)^{10}$ are equal, then the value of $x$ is __________
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt
Identify the correct statement
Identify the correct statement
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
If $\frac{x-1}{3+i}+\frac{y-1}{3-i}=i$ then $(y, x)=$
If $\frac{x-1}{3+i}+\frac{y-1}{3-i}=i$ then $(y, x)=$
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
A line $L_1$ passing through the point A with position vector $\vec{a}=4 \hat{i}+2 \hat{j}+2 \hat{k}$ is parallel to the vector $\vec{b}=2 \hat{i}+3 \hat{j}+6 \hat{k}$. The length of the perpendicular drawn from a point P with position vector $\vec{p}=\hat{i}+2 \hat{j}+3 \hat{k}$ to $L_1$ is
A line $L_1$ passing through the point A with position vector $\vec{a}=4 \hat{i}+2 \hat{j}+2 \hat{k}$ is parallel to the vector $\vec{b}=2 \hat{i}+3 \hat{j}+6 \hat{k}$. The length of the perpendicular drawn from a point P with position vector $\vec{p}=\hat{i}+2 \hat{j}+3 \hat{k}$ to $L_1$ is
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
If the distance between the foci is equal to the length of the latus rectum, then the eccentricity of the ellipse is
If the distance between the foci is equal to the length of the latus rectum, then the eccentricity of the ellipse is
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
In an entrance test, there are multiple choice questions. There are four possible answers to each question of which only one is correct. The probability that a student knows the answer to a question is $90 \%$. If he gets the correct answer to a question, then the probability that he was guessing is
In an entrance test, there are multiple choice questions. There are four possible answers to each question of which only one is correct. The probability that a student knows the answer to a question is $90 \%$. If he gets the correct answer to a question, then the probability that he was guessing is
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
The magnitude of the projection of the vector $-\hat{\imath}+2 \hat{\jmath}-\hat{k}$ on the z -axis is
The magnitude of the projection of the vector $-\hat{\imath}+2 \hat{\jmath}-\hat{k}$ on the z -axis is
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt
A solid S is made from a cylinder surmounted by a hemisphere on top with both its circular faces sharing a common centre. The radius of cylinder and radius of hemisphere are $x \mathrm{~cm}$. The height of the cylinder is $(20-4 x) \mathrm{cm}$ and the volume of S is $V=\frac{1}{3} \pi y$. Find the maximum value of $y$.
A solid S is made from a cylinder surmounted by a hemisphere on top with both its circular faces sharing a common centre. The radius of cylinder and radius of hemisphere are $x \mathrm{~cm}$. The height of the cylinder is $(20-4 x) \mathrm{cm}$ and the volume of S is $V=\frac{1}{3} \pi y$. Find the maximum value of $y$.
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
What volume of $0.2 \mathrm{M} \mathrm{CH}_3 \mathrm{COOH}$ needs to be added to 100 ml of $0.4 \mathrm{M} \mathrm{CH}_3 \mathrm{COONa}$ solution to prepare a buffer of pH equal to 4.91 ? ( $\mathrm{pK}_{\mathrm{a}}$ of $\mathrm{CH}_3 \mathrm{COOH}$ is 4.76 )
What volume of $0.2 \mathrm{M} \mathrm{CH}_3 \mathrm{COOH}$ needs to be added to 100 ml of $0.4 \mathrm{M} \mathrm{CH}_3 \mathrm{COONa}$ solution to prepare a buffer of pH equal to 4.91 ? ( $\mathrm{pK}_{\mathrm{a}}$ of $\mathrm{CH}_3 \mathrm{COOH}$ is 4.76 )
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt

Identify the final product $[Z]$ formed when Chlorobenzene undergoes the given series of reactions:

COMEDK 2025 Morning Shift Chemistry - Haloalkanes and Haloarenes Question 6 English

Identify the final product $[Z]$ formed when Chlorobenzene undergoes the given series of reactions:

COMEDK 2025 Morning Shift Chemistry - Haloalkanes and Haloarenes Question 6 English
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
Two volatile liquids X and Y form an ideal solution at 298 K and have vapour pressures equal to 100 mm and 200 mm of Hg respectively in their pure state. The mole fraction of X in the solution is 0.4 and the mole fraction of Y in the vapour phase is $a / 20$. Calculate the value of a.
Two volatile liquids X and Y form an ideal solution at 298 K and have vapour pressures equal to 100 mm and 200 mm of Hg respectively in their pure state. The mole fraction of X in the solution is 0.4 and the mole fraction of Y in the vapour phase is $a / 20$. Calculate the value of a.
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
0.4 g of Propane burns completely at 300 K in a bomb calorimeter. The temperature of the calorimeter and surrounding water rises by $0.4^0 \mathrm{C}$. If the heat capacity of the calorimeter and contents is $24 \mathrm{~kJ} \mathrm{~K}^{-1}$ what is the Enthalpy for the reaction? (Assume that propane gas shows ideal behaviour).
0.4 g of Propane burns completely at 300 K in a bomb calorimeter. The temperature of the calorimeter and surrounding water rises by $0.4^0 \mathrm{C}$. If the heat capacity of the calorimeter and contents is $24 \mathrm{~kJ} \mathrm{~K}^{-1}$ what is the Enthalpy for the reaction? (Assume that propane gas shows ideal behaviour).
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt

Match the metals in Column II with their characteristic properties given in Column I.

Properties Metals
A. Lanthanoid with low value of $3^{\text {rd }}$ ionisation enthalpy. P V
B. f-Block element with electronic configuration $[R n] 6 d^2 7 s^2$ Q Gd
C. 3 d -series metal whose $\mathrm{M}^{3+}{ }_{(\mathrm{aq})}$ is colourless. R Th
D. 3d-series metal with highest $\Delta \mathrm{H}_{\text {(atomisation) }}$ S Sc

Match the metals in Column II with their characteristic properties given in Column I.

Properties Metals
A. Lanthanoid with low value of $3^{\text {rd }}$ ionisation enthalpy. P V
B. f-Block element with electronic configuration $[R n] 6 d^2 7 s^2$ Q Gd
C. 3 d -series metal whose $\mathrm{M}^{3+}{ }_{(\mathrm{aq})}$ is colourless. R Th
D. 3d-series metal with highest $\Delta \mathrm{H}_{\text {(atomisation) }}$ S Sc

Q.6 Correct
Q.6 In-correct
Q.6 Unattempt

Convert Benzene $\rightarrow 3$-Bromophenol by choosing appropriate reagents [(i) to (v)] in the correct sequence.

(i) $\mathrm{NaNO}_2 / \mathrm{HCl}\left(0^{\circ} \mathrm{C}\right)$

(ii) Conc. $\mathrm{HNO}_3 / \mathrm{H}_2 \mathrm{SO}_4$

(iii) $\mathrm{H}_2 \mathrm{O} / 283 \mathrm{~K}$

(iv) $\mathrm{Fe} / \mathrm{HCl}$

(v) $\mathrm{Br} 2 / \mathrm{Fe}$

Convert Benzene $\rightarrow 3$-Bromophenol by choosing appropriate reagents [(i) to (v)] in the correct sequence.

(i) $\mathrm{NaNO}_2 / \mathrm{HCl}\left(0^{\circ} \mathrm{C}\right)$

(ii) Conc. $\mathrm{HNO}_3 / \mathrm{H}_2 \mathrm{SO}_4$

(iii) $\mathrm{H}_2 \mathrm{O} / 283 \mathrm{~K}$

(iv) $\mathrm{Fe} / \mathrm{HCl}$

(v) $\mathrm{Br} 2 / \mathrm{Fe}$
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
Choose the correct statement.
Choose the correct statement.
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
An aqueous solution of $\mathrm{CrCl}_3 .6 \mathrm{H}_2 \mathrm{O}$ (Molar mass $=266.5 \mathrm{~g} / \mathrm{mol}$ ) containing 2.665 g of the solute after processing, when treated with excess of $\mathrm{AgNO}_3$ gave 2.87 g of AgCl (Molar mass of $\mathrm{AgCl}=143.5 \mathrm{~g} / \mathrm{mol}$ ) Choose the correct formula of the compound which give these results.
An aqueous solution of $\mathrm{CrCl}_3 .6 \mathrm{H}_2 \mathrm{O}$ (Molar mass $=266.5 \mathrm{~g} / \mathrm{mol}$ ) containing 2.665 g of the solute after processing, when treated with excess of $\mathrm{AgNO}_3$ gave 2.87 g of AgCl (Molar mass of $\mathrm{AgCl}=143.5 \mathrm{~g} / \mathrm{mol}$ ) Choose the correct formula of the compound which give these results.
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
In which one of the following pairs does the stability of the monovalent ion increase with respect to the molecule, while the magnetic character remains the same for both?
In which one of the following pairs does the stability of the monovalent ion increase with respect to the molecule, while the magnetic character remains the same for both?
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
When $9.2 \times 10^{-3} \mathrm{~kg}$ of formic acid is added to 600 ml of water the freezing point of water is depressed. If $30 \%$ of Formic acid undergoes dissociation what would be the freezing point of the solution? ( $\mathrm{K}_{\mathrm{f}}$ of $\mathrm{H}_2 \mathrm{O}$ is 1.86 K kg mol ; MM of formic acid: 46 amu )
When $9.2 \times 10^{-3} \mathrm{~kg}$ of formic acid is added to 600 ml of water the freezing point of water is depressed. If $30 \%$ of Formic acid undergoes dissociation what would be the freezing point of the solution? ( $\mathrm{K}_{\mathrm{f}}$ of $\mathrm{H}_2 \mathrm{O}$ is 1.86 K kg mol ; MM of formic acid: 46 amu )
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
An organic compound $[\mathrm{X}]$ (molecular formula- $\mathrm{C}_5 \mathrm{H}_{11} \mathrm{NO}$ when reacted with $\mathrm{Br}_2$ / aq. NaOH yielded $[\mathrm{Y}]$ which reacts with $\mathrm{CHCl}_3$ and Ethanolic KOH to produce a foul smelling compound. Compound $[\mathrm{Y}]$ also reacts with HONO to produce Butan-1-ol with liberation of $\mathrm{N}_2(\mathrm{~g})$. Identify [X].
An organic compound $[\mathrm{X}]$ (molecular formula- $\mathrm{C}_5 \mathrm{H}_{11} \mathrm{NO}$ when reacted with $\mathrm{Br}_2$ / aq. NaOH yielded $[\mathrm{Y}]$ which reacts with $\mathrm{CHCl}_3$ and Ethanolic KOH to produce a foul smelling compound. Compound $[\mathrm{Y}]$ also reacts with HONO to produce Butan-1-ol with liberation of $\mathrm{N}_2(\mathrm{~g})$. Identify [X].
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
Choose the correct statement.
Choose the correct statement.
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt

Two statements, One Assertion (A) and the other Reason (R) are given. Choose the right option.

Assertion: The rate constant $(\mathrm{k})$ for a chemical reaction gets nearly doubled for a $10^0$ rise in temperature.

Reason: The number of bimolecular collisions between reactant molecules increase with increase in temperature

Two statements, One Assertion (A) and the other Reason (R) are given. Choose the right option.

Assertion: The rate constant $(\mathrm{k})$ for a chemical reaction gets nearly doubled for a $10^0$ rise in temperature.

Reason: The number of bimolecular collisions between reactant molecules increase with increase in temperature
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
Which one of the following is a true statement with reference to reaction between 2- Bromo-2-methylpropane and aqueous KOH ?
Which one of the following is a true statement with reference to reaction between 2- Bromo-2-methylpropane and aqueous KOH ?
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
Which of the following haloalkanes will give more than one isomeric product, on being heated with alc. KOH ?
Which of the following haloalkanes will give more than one isomeric product, on being heated with alc. KOH ?
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
Which one of the following coordination compounds will exhibit both geometrical and optical isomerism?
Which one of the following coordination compounds will exhibit both geometrical and optical isomerism?
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
The concentration and percentage purity of Oxalic acid can be determined by titration with $\mathrm{KMnO}_4$ in presence of dil. $\mathrm{H}_2 \mathrm{SO}_4$. Instead of dil. $\mathrm{H}_2 \mathrm{SO}_4$, dil HCl cannot be used because
The concentration and percentage purity of Oxalic acid can be determined by titration with $\mathrm{KMnO}_4$ in presence of dil. $\mathrm{H}_2 \mathrm{SO}_4$. Instead of dil. $\mathrm{H}_2 \mathrm{SO}_4$, dil HCl cannot be used because
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt

What is the final product $[\mathrm{Z}]$ formed when the given reactions take place?

COMEDK 2025 Morning Shift Chemistry - Alcohol, Phenols and Ethers Question 9 English

What is the final product $[\mathrm{Z}]$ formed when the given reactions take place?

COMEDK 2025 Morning Shift Chemistry - Alcohol, Phenols and Ethers Question 9 English
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
A non-volatile solute A weighing 60 g when dissolved in 212 g of the solvent Xylene reduces its vapour pressure to $60 \%$. What is the Molar mass of A in $\mathrm{g} / \mathrm{mol}$ ? [MM of xylene $=106 \mathrm{~g} / \mathrm{mol}$ ]
A non-volatile solute A weighing 60 g when dissolved in 212 g of the solvent Xylene reduces its vapour pressure to $60 \%$. What is the Molar mass of A in $\mathrm{g} / \mathrm{mol}$ ? [MM of xylene $=106 \mathrm{~g} / \mathrm{mol}$ ]
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt

Two statements, one Assertion (A) and the other Reason (R) are given. Choose the correct option.

Assertion: Compound $[\mathrm{X}]$ reacts with Hydrazine in presence of $\mathrm{KOH} /$ Glycol to form the product $[\mathrm{Y}]$.

COMEDK 2025 Morning Shift Chemistry - Aldehyde and Ketone Question 6 English

Reason: Reduction reaction occurs and Carbonyl group is reduced to Methylene group.

Two statements, one Assertion (A) and the other Reason (R) are given. Choose the correct option.

Assertion: Compound $[\mathrm{X}]$ reacts with Hydrazine in presence of $\mathrm{KOH} /$ Glycol to form the product $[\mathrm{Y}]$.

COMEDK 2025 Morning Shift Chemistry - Aldehyde and Ketone Question 6 English

Reason: Reduction reaction occurs and Carbonyl group is reduced to Methylene group.
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
For a 1.0 molal solution containing the non-volatile solute Urea, the elevation in boiling point is 2.0 K while the depression in freezing point in a 3.0 molal solution having the same solvent is $4.0 K$. If the ratio $\frac{K_b}{K_f}=\frac{1}{X}$, what is the value of $X$ ?
For a 1.0 molal solution containing the non-volatile solute Urea, the elevation in boiling point is 2.0 K while the depression in freezing point in a 3.0 molal solution having the same solvent is $4.0 K$. If the ratio $\frac{K_b}{K_f}=\frac{1}{X}$, what is the value of $X$ ?
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
Identify the correct statement.
Identify the correct statement.
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
Choose the incorrect statement.
Choose the incorrect statement.
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
Solubility product of the sparingly soluble salt $\mathrm{AgBrO}_3$ in aqueous medium is $9.3 \times 10^{-10}$ Calculate the mass in gram of $\mathrm{AgBrO}_3$ present in 100 ml of its saturated solution. (Molar mass of $\mathrm{AgBrO}_3$ is $236 \mathrm{~g} / \mathrm{mol}$ )
Solubility product of the sparingly soluble salt $\mathrm{AgBrO}_3$ in aqueous medium is $9.3 \times 10^{-10}$ Calculate the mass in gram of $\mathrm{AgBrO}_3$ present in 100 ml of its saturated solution. (Molar mass of $\mathrm{AgBrO}_3$ is $236 \mathrm{~g} / \mathrm{mol}$ )
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
What is the reduction potential of a half-cell consisting of a Pt electrode dipped in $2.2 \mathrm{M} \mathrm{Fe}^{2+}$ and $0.04 \mathrm{M} \mathrm{Fe}^{3+}$ solution where the reaction taking place is conversion of $\mathrm{Fe}^{3+}$ ions to $\mathrm{Fe}^{2+}$ ?

$$\mathrm{E}^0\left(\mathrm{Fe}^{3+} / \mathrm{Fe}^{2+}\right)=0.771 \mathrm{~V}$$

What is the reduction potential of a half-cell consisting of a Pt electrode dipped in $2.2 \mathrm{M} \mathrm{Fe}^{2+}$ and $0.04 \mathrm{M} \mathrm{Fe}^{3+}$ solution where the reaction taking place is conversion of $\mathrm{Fe}^{3+}$ ions to $\mathrm{Fe}^{2+}$ ?

$$\mathrm{E}^0\left(\mathrm{Fe}^{3+} / \mathrm{Fe}^{2+}\right)=0.771 \mathrm{~V}$$
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt

Both reactions (i) and (ii) give the same compound X as the major product. Identify X

(i). 3-Methylbut-1-ene $+\mathrm{HCl} \rightarrow \mathrm{X}$

(ii). Neopentyl alcohol $+\mathrm{HCl}\left(\right.$ anh. $\left.\mathrm{ZnCl}_2\right) \rightarrow \mathrm{X}$

Both reactions (i) and (ii) give the same compound X as the major product. Identify X

(i). 3-Methylbut-1-ene $+\mathrm{HCl} \rightarrow \mathrm{X}$

(ii). Neopentyl alcohol $+\mathrm{HCl}\left(\right.$ anh. $\left.\mathrm{ZnCl}_2\right) \rightarrow \mathrm{X}$
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
Two chemical reactions of the same order have equal Frequency factor value. Their Activation energies differ by $26.8 \mathrm{~kJ} / \mathrm{mol}$. At 300 K if $k_2=x k_1$ find the value of $x$.
Two chemical reactions of the same order have equal Frequency factor value. Their Activation energies differ by $26.8 \mathrm{~kJ} / \mathrm{mol}$. At 300 K if $k_2=x k_1$ find the value of $x$.
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt

Arrange the following compounds in the decreasing order of the molar conductivities of their aqueous solutions.

A B C D
$\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_5 \mathrm{Cl}\right] \mathrm{Cl}_2$ $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_3 \mathrm{Cl}_3\right]$ $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_4 \mathrm{Cl}_2\right] \mathrm{Cl}$ $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right] \mathrm{Cl}_3$

Arrange the following compounds in the decreasing order of the molar conductivities of their aqueous solutions.

A B C D
$\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_5 \mathrm{Cl}\right] \mathrm{Cl}_2$ $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_3 \mathrm{Cl}_3\right]$ $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_4 \mathrm{Cl}_2\right] \mathrm{Cl}$ $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_6\right] \mathrm{Cl}_3$

Q.29 Correct
Q.29 In-correct
Q.29 Unattempt

From the given covalent compounds (A to F) identify the pair of molecules which have:

(i) Two lone pairs of electrons on the central atom.

(ii) One lone pair of electrons on the central atom.

A. $\mathrm{SO}_2$
B. $\mathrm{ClF}_3$
C. $\mathrm{BF}_3$
D. $\mathrm{BrF}_5$
E. XeF 4
F. $\mathrm{SF}_6$

From the given covalent compounds (A to F) identify the pair of molecules which have:

(i) Two lone pairs of electrons on the central atom.

(ii) One lone pair of electrons on the central atom.

A. $\mathrm{SO}_2$
B. $\mathrm{ClF}_3$
C. $\mathrm{BF}_3$
D. $\mathrm{BrF}_5$
E. XeF 4
F. $\mathrm{SF}_6$
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
A current of 2.5 amperes is passed through 800 ml of 0.48 M solution of $\mathrm{CuSO}_4$ for 1.0 hour with a current efficiency of $80 \%$. If the volume of the solution remains unchanged, what is the final molarity of the solution?
A current of 2.5 amperes is passed through 800 ml of 0.48 M solution of $\mathrm{CuSO}_4$ for 1.0 hour with a current efficiency of $80 \%$. If the volume of the solution remains unchanged, what is the final molarity of the solution?
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
A certain orbital having 2 angular nodes and no radial nodes is:
A certain orbital having 2 angular nodes and no radial nodes is:
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt

An organic compound $[\mathrm{X}]$ reacts with $\mathrm{H}_2 / \mathrm{Pd}-\mathrm{BaSO}_4$ to give compound $[\mathrm{Y}]$ which reduces Tollen's reagent and undergoes Cannizzaro's reaction. On rigorous oxidation of $[\mathrm{Y}]$ in presence of $\mathrm{KMnO}_4 / \mathrm{H}^{+}$Phthalic acid is the product obtained. What is $[\mathrm{X}]$ ?

An organic compound $[\mathrm{X}]$ reacts with $\mathrm{H}_2 / \mathrm{Pd}-\mathrm{BaSO}_4$ to give compound $[\mathrm{Y}]$ which reduces Tollen's reagent and undergoes Cannizzaro's reaction. On rigorous oxidation of $[\mathrm{Y}]$ in presence of $\mathrm{KMnO}_4 / \mathrm{H}^{+}$Phthalic acid is the product obtained. What is $[\mathrm{X}]$ ?
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt

Arrange the following free radicals in the increasing order of their stability:

A B C D
COMEDK 2025 Morning Shift Chemistry - General Organic Chemistry Question 3 English 1 COMEDK 2025 Morning Shift Chemistry - General Organic Chemistry Question 3 English 2 COMEDK 2025 Morning Shift Chemistry - General Organic Chemistry Question 3 English 3 COMEDK 2025 Morning Shift Chemistry - General Organic Chemistry Question 3 English 4

Arrange the following free radicals in the increasing order of their stability:

A B C D
COMEDK 2025 Morning Shift Chemistry - General Organic Chemistry Question 3 English 1 COMEDK 2025 Morning Shift Chemistry - General Organic Chemistry Question 3 English 2 COMEDK 2025 Morning Shift Chemistry - General Organic Chemistry Question 3 English 3 COMEDK 2025 Morning Shift Chemistry - General Organic Chemistry Question 3 English 4
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
If X is a haloalkane with a single Chlorine atom per molecule and the percentage of Cl is 55 , what would be the number of Cl atoms present in 0.1 g of the haloalkane? Atomic mass of $\mathrm{Cl}=35.5 \mathrm{~g} / \mathrm{mol}$
If X is a haloalkane with a single Chlorine atom per molecule and the percentage of Cl is 55 , what would be the number of Cl atoms present in 0.1 g of the haloalkane? Atomic mass of $\mathrm{Cl}=35.5 \mathrm{~g} / \mathrm{mol}$
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
For a reaction $\mathrm{X}_2(\mathrm{l})+\mathrm{Y}_2(\mathrm{~g}) \leftrightharpoons 2 \mathrm{XY}(\mathrm{g})$, the $\Delta \mathrm{H}^0$ and $\Delta \mathrm{S}^0$ are $+29.3 \mathrm{~kJ} / \mathrm{mol}$ and $104.1 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$ respectively at 298 K . Find the free energy change in $\mathrm{kJ} / \mathrm{mol}$.
For a reaction $\mathrm{X}_2(\mathrm{l})+\mathrm{Y}_2(\mathrm{~g}) \leftrightharpoons 2 \mathrm{XY}(\mathrm{g})$, the $\Delta \mathrm{H}^0$ and $\Delta \mathrm{S}^0$ are $+29.3 \mathrm{~kJ} / \mathrm{mol}$ and $104.1 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1}$ respectively at 298 K . Find the free energy change in $\mathrm{kJ} / \mathrm{mol}$.
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
Which one of the following reactions does not give the correct combination of reactants and the major products formed in the reaction?
Which one of the following reactions does not give the correct combination of reactants and the major products formed in the reaction?
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt

Match the coordination compounds in Column I having the given type of hybridisation of $\mathrm{M}^{\mathrm{n}+}$ ion and magnetic moment as given in Column II.

Coordination compounds Hybridisation & Magnetic nature
A. $\mathrm{Ni}(\mathrm{CO})_4$ P. $\mathrm{sp}^3, \quad \mu=5.92 \mathrm{BM}$
B. $\left[\mathrm{Ni}(\mathrm{CN})_4\right]^{2-}$ Q. $\mathrm{sp}^3, \quad \mu=2.84 \mathrm{BM}$
C. $\left[\mathrm{Ni}(\mathrm{Cl})_4\right]^{2-}$ R. $\mathrm{sp}^3, \quad \mu=0$
D. $\left[\mathrm{MnBr}_4\right]^{2-}$ S. $\mathrm{dsp}^2, \quad \mu=0$

Match the coordination compounds in Column I having the given type of hybridisation of $\mathrm{M}^{\mathrm{n}+}$ ion and magnetic moment as given in Column II.

Coordination compounds Hybridisation & Magnetic nature
A. $\mathrm{Ni}(\mathrm{CO})_4$ P. $\mathrm{sp}^3, \quad \mu=5.92 \mathrm{BM}$
B. $\left[\mathrm{Ni}(\mathrm{CN})_4\right]^{2-}$ Q. $\mathrm{sp}^3, \quad \mu=2.84 \mathrm{BM}$
C. $\left[\mathrm{Ni}(\mathrm{Cl})_4\right]^{2-}$ R. $\mathrm{sp}^3, \quad \mu=0$
D. $\left[\mathrm{MnBr}_4\right]^{2-}$ S. $\mathrm{dsp}^2, \quad \mu=0$

Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
The EMF of the cell $\mathrm{Al} / \mathrm{Al}^{3+}(0.01 \mathrm{M}) \| \mathrm{Fe}^{2+}(0.02 \mathrm{M}) / \mathrm{Fe}$ is 1.209 V . The EMF of the cell can be increased by
The EMF of the cell $\mathrm{Al} / \mathrm{Al}^{3+}(0.01 \mathrm{M}) \| \mathrm{Fe}^{2+}(0.02 \mathrm{M}) / \mathrm{Fe}$ is 1.209 V . The EMF of the cell can be increased by
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt

An unsaturated hydrocarbon $[\mathrm{A}]$ undergoes the following series of reactions. Identify $[\mathrm{A}]$.

COMEDK 2025 Morning Shift Chemistry - Hydrocarbons Question 11 English

An unsaturated hydrocarbon $[\mathrm{A}]$ undergoes the following series of reactions. Identify $[\mathrm{A}]$.

COMEDK 2025 Morning Shift Chemistry - Hydrocarbons Question 11 English
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt

Identify the compound which gives an optically active haloalkane on reaction with $\mathrm{H}_2$ / Ni on heating.

A B C D
COMEDK 2025 Morning Shift Chemistry - Haloalkanes and Haloarenes Question 7 English 1 COMEDK 2025 Morning Shift Chemistry - Haloalkanes and Haloarenes Question 7 English 2 COMEDK 2025 Morning Shift Chemistry - Haloalkanes and Haloarenes Question 7 English 3 COMEDK 2025 Morning Shift Chemistry - Haloalkanes and Haloarenes Question 7 English 4

Identify the compound which gives an optically active haloalkane on reaction with $\mathrm{H}_2$ / Ni on heating.

A B C D
COMEDK 2025 Morning Shift Chemistry - Haloalkanes and Haloarenes Question 7 English 1 COMEDK 2025 Morning Shift Chemistry - Haloalkanes and Haloarenes Question 7 English 2 COMEDK 2025 Morning Shift Chemistry - Haloalkanes and Haloarenes Question 7 English 3 COMEDK 2025 Morning Shift Chemistry - Haloalkanes and Haloarenes Question 7 English 4
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
For a given reaction of the type $\frac{3}{5} X(a q) \rightarrow \frac{1}{2} Y(a q)+Z(g)$, the correct expression for the rate of disappearance of $X$ with reference to $Y$ is ___________
For a given reaction of the type $\frac{3}{5} X(a q) \rightarrow \frac{1}{2} Y(a q)+Z(g)$, the correct expression for the rate of disappearance of $X$ with reference to $Y$ is ___________
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
Which one of the following statements is correct?.
Which one of the following statements is correct?.
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
Given that the standard enthalpy of combustion of $\mathrm{C}_{(\mathrm{S})}$ and $\mathrm{CS}_2(\mathrm{l})$ are -393.3 and $-1108.76 \mathrm{~kJ} / \mathrm{mol}$ respectively and the standard enthalpy of formation of $\mathrm{CS}_2$ is $128.02 \mathrm{~kJ} / \mathrm{mol}$. What is $\Delta H_f^0$ of $\mathrm{SO}_2$ ?
Given that the standard enthalpy of combustion of $\mathrm{C}_{(\mathrm{S})}$ and $\mathrm{CS}_2(\mathrm{l})$ are -393.3 and $-1108.76 \mathrm{~kJ} / \mathrm{mol}$ respectively and the standard enthalpy of formation of $\mathrm{CS}_2$ is $128.02 \mathrm{~kJ} / \mathrm{mol}$. What is $\Delta H_f^0$ of $\mathrm{SO}_2$ ?
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt
Choose the correct statement.
Choose the correct statement.
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
Benzene diazonium chloride when warmed with water gives a compound, whose Sodium salt when reacted with Allyl bromide gives compound $[\mathrm{X}]$. Identify $[\mathrm{X}]$.
Benzene diazonium chloride when warmed with water gives a compound, whose Sodium salt when reacted with Allyl bromide gives compound $[\mathrm{X}]$. Identify $[\mathrm{X}]$.
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt

Arrange the following in the decreasing order of their $\mathrm{pK}_{\mathrm{a}}$ values.

COMEDK 2025 Morning Shift Chemistry - General Organic Chemistry Question 4 English

Arrange the following in the decreasing order of their $\mathrm{pK}_{\mathrm{a}}$ values.

COMEDK 2025 Morning Shift Chemistry - General Organic Chemistry Question 4 English
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt

Cyclohexanol undergoes a series of reactions as given. Identify compound (iv).

$\mathrm{C}_6 \mathrm{H}_{11} \mathrm{OH}+\mathrm{CrO}_3 \rightarrow(\mathrm{i})+\mathrm{C}_6 \mathrm{H}_5 \mathrm{MgI} \rightarrow(\mathrm{ii})+$ dil. $\mathrm{HCl} \rightarrow(\mathrm{iii})+$ Conc. $\mathrm{H}_3 \mathrm{PO}_4 \rightarrow(\mathrm{iv})$

Cyclohexanol undergoes a series of reactions as given. Identify compound (iv).

$\mathrm{C}_6 \mathrm{H}_{11} \mathrm{OH}+\mathrm{CrO}_3 \rightarrow(\mathrm{i})+\mathrm{C}_6 \mathrm{H}_5 \mathrm{MgI} \rightarrow(\mathrm{ii})+$ dil. $\mathrm{HCl} \rightarrow(\mathrm{iii})+$ Conc. $\mathrm{H}_3 \mathrm{PO}_4 \rightarrow(\mathrm{iv})$
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt

Match the structures in Column I with their correct IUPAC names given in Column II.

Column I Column II
A. COMEDK 2025 Morning Shift Chemistry - IUPAC Nomenclatures Question 3 English 1 P. 2,3-Dibromo-1-phenylpentane.
B. COMEDK 2025 Morning Shift Chemistry - IUPAC Nomenclatures Question 3 English 2 Q. 2,3- Dibromohexanedial.
C. COMEDK 2025 Morning Shift Chemistry - IUPAC Nomenclatures Question 3 English 3 R. 2- ( 4- isobutylphenyl) propanoic acid
D. COMEDK 2025 Morning Shift Chemistry - IUPAC Nomenclatures Question 3 English 4 S. 2- Hydroxy-1,2,3- propanetricarboxylic acid.

Match the structures in Column I with their correct IUPAC names given in Column II.

Column I Column II
A. COMEDK 2025 Morning Shift Chemistry - IUPAC Nomenclatures Question 3 English 1 P. 2,3-Dibromo-1-phenylpentane.
B. COMEDK 2025 Morning Shift Chemistry - IUPAC Nomenclatures Question 3 English 2 Q. 2,3- Dibromohexanedial.
C. COMEDK 2025 Morning Shift Chemistry - IUPAC Nomenclatures Question 3 English 3 R. 2- ( 4- isobutylphenyl) propanoic acid
D. COMEDK 2025 Morning Shift Chemistry - IUPAC Nomenclatures Question 3 English 4 S. 2- Hydroxy-1,2,3- propanetricarboxylic acid.

Q.49 Correct
Q.49 In-correct
Q.49 Unattempt

Identify $[\mathrm{X}]$, the final product formed when 2 moles of Ethanal undergoes the following series of reactions with reagents [(i) to (iv)]

COMEDK 2025 Morning Shift Chemistry - Aldehyde and Ketone Question 5 English

Identify $[\mathrm{X}]$, the final product formed when 2 moles of Ethanal undergoes the following series of reactions with reagents [(i) to (iv)]

COMEDK 2025 Morning Shift Chemistry - Aldehyde and Ketone Question 5 English
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt

Two statements, one Assertion (A) and the other Reason (R) are given. Choose the correct option.

Assertion: Maltose, a disaccharide, is a reducing sugar and is obtained by the partial hydrolysis of starch in presence of the enzyme diastase.

Reason: Hydrolysis of one mole of Maltose gives one mole each of $\alpha-D-$ Glucose and $\beta-D-$ Fructose.

Two statements, one Assertion (A) and the other Reason (R) are given. Choose the correct option.

Assertion: Maltose, a disaccharide, is a reducing sugar and is obtained by the partial hydrolysis of starch in presence of the enzyme diastase.

Reason: Hydrolysis of one mole of Maltose gives one mole each of $\alpha-D-$ Glucose and $\beta-D-$ Fructose.
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt

Which one of the following options represents the decreasing order of oxidation number of the central atom in:

$$\mathrm{Cr}_2 \mathrm{O}_7^{2-}, \mathrm{Cr} \mathrm{O}_2^{-}, \mathrm{MnO}_4^{-}, \mathrm{BrO}_3^{-}$$

Which one of the following options represents the decreasing order of oxidation number of the central atom in:

$$\mathrm{Cr}_2 \mathrm{O}_7^{2-}, \mathrm{Cr} \mathrm{O}_2^{-}, \mathrm{MnO}_4^{-}, \mathrm{BrO}_3^{-}$$
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt

COMEDK 2025 Morning Shift Chemistry - d and f Block Elements Question 8 English

What is the spin only magnetic moment of the metal ion in $\mathbf{P}$ and the oxidation number of Sulphur in the oxidised product Z ?

COMEDK 2025 Morning Shift Chemistry - d and f Block Elements Question 8 English

What is the spin only magnetic moment of the metal ion in $\mathbf{P}$ and the oxidation number of Sulphur in the oxidised product Z ?
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
The conductivity of 0.01 M solution of $\mathrm{CH}_3 \mathrm{COOH}$ at 298 K is $1.65 \times 10^{-4} \mathrm{Scm}^{-1}$ What is the $\mathrm{pK}_{\mathrm{a}}$ value of the acid if $\lambda^0\left(\mathrm{H}^{+}\right)$and $\lambda^0\left(\mathrm{CH}_3 \mathrm{COO}\right)^{-1}$ are $349.1 \mathrm{Scm}^2 \mathrm{~mol}^{-1}$ and $40.9 \mathrm{Scm}^2 \mathrm{~mol}^{-1}$ respectively?
The conductivity of 0.01 M solution of $\mathrm{CH}_3 \mathrm{COOH}$ at 298 K is $1.65 \times 10^{-4} \mathrm{Scm}^{-1}$ What is the $\mathrm{pK}_{\mathrm{a}}$ value of the acid if $\lambda^0\left(\mathrm{H}^{+}\right)$and $\lambda^0\left(\mathrm{CH}_3 \mathrm{COO}\right)^{-1}$ are $349.1 \mathrm{Scm}^2 \mathrm{~mol}^{-1}$ and $40.9 \mathrm{Scm}^2 \mathrm{~mol}^{-1}$ respectively?
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt

Two statements, one Assertion (A) and the other Reason (R) are given. Choose the correct option.

Assertion: 2-aminoethanoic acid and p-aminobenzene sulphonic acid can exist as Zwitter ions while p-aminobenzoic acid cannot.

Reason: When the acid group is a relatively strong proton donor and the $-\mathrm{NH}_2$ group is sufficiently basic it can accept a $\mathrm{H}^{+}$ion from the acid group to form the dipolar ion.

Two statements, one Assertion (A) and the other Reason (R) are given. Choose the correct option.

Assertion: 2-aminoethanoic acid and p-aminobenzene sulphonic acid can exist as Zwitter ions while p-aminobenzoic acid cannot.

Reason: When the acid group is a relatively strong proton donor and the $-\mathrm{NH}_2$ group is sufficiently basic it can accept a $\mathrm{H}^{+}$ion from the acid group to form the dipolar ion.
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt
$\mathrm{X} \rightarrow 2 \mathrm{Y}$ is a first order reaction where $1.0 \mathrm{~mol} / \mathrm{L}$ of the reactant yields $0.4 \mathrm{~mol} / \mathrm{L}$ of Y in 200 minutes. Calculate the half-life period of the reaction in minutes.
$\mathrm{X} \rightarrow 2 \mathrm{Y}$ is a first order reaction where $1.0 \mathrm{~mol} / \mathrm{L}$ of the reactant yields $0.4 \mathrm{~mol} / \mathrm{L}$ of Y in 200 minutes. Calculate the half-life period of the reaction in minutes.
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt

Match the reactions of Glucose given in Column I with the major product formed in the reaction as in Column II.

Column I - Reactions Column II - Major product
A. $\mathrm{C}_6 \mathrm{H}_{12} \mathrm{O}_6+\mathrm{HI}$ (Heat) P. $\mathrm{HOOC}-(\mathrm{CHOH})_4-\mathrm{COOH}$
B. $\mathrm{C}_6 \mathrm{H}_{12} \mathrm{O}_6+\mathrm{Br}_2(\mathrm{aq})$ Q. $\mathrm{CH}_3-\left(\mathrm{CH}_2\right)_4-\mathrm{CH}_3$
C. $\mathrm{C}_6 \mathrm{H}_{12} \mathrm{O}_6+$ Conc. $\mathrm{HNO}_3$ R. $\mathrm{NH}_4 \mathrm{O}-\mathrm{OC}-(\mathrm{CHOH})_4-\mathrm{CH}_2 \mathrm{OH}$
D. $\mathrm{C}_6 \mathrm{H}_{12} \mathrm{O}_6+2\left[\mathrm{Ag}\left(\mathrm{NH}_3\right)_2\right] \mathrm{OH}$ S. $\mathrm{HOOC}-(\mathrm{CHOH})_4-\mathrm{CH}_2 \mathrm{OH}$

Match the reactions of Glucose given in Column I with the major product formed in the reaction as in Column II.

Column I - Reactions Column II - Major product
A. $\mathrm{C}_6 \mathrm{H}_{12} \mathrm{O}_6+\mathrm{HI}$ (Heat) P. $\mathrm{HOOC}-(\mathrm{CHOH})_4-\mathrm{COOH}$
B. $\mathrm{C}_6 \mathrm{H}_{12} \mathrm{O}_6+\mathrm{Br}_2(\mathrm{aq})$ Q. $\mathrm{CH}_3-\left(\mathrm{CH}_2\right)_4-\mathrm{CH}_3$
C. $\mathrm{C}_6 \mathrm{H}_{12} \mathrm{O}_6+$ Conc. $\mathrm{HNO}_3$ R. $\mathrm{NH}_4 \mathrm{O}-\mathrm{OC}-(\mathrm{CHOH})_4-\mathrm{CH}_2 \mathrm{OH}$
D. $\mathrm{C}_6 \mathrm{H}_{12} \mathrm{O}_6+2\left[\mathrm{Ag}\left(\mathrm{NH}_3\right)_2\right] \mathrm{OH}$ S. $\mathrm{HOOC}-(\mathrm{CHOH})_4-\mathrm{CH}_2 \mathrm{OH}$

Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
A certain gas absorbs photon of wavelength $4.0 \times 10^{-7} \mathrm{~m}$ and emits radiation at two wavelengths. If one of the emissions occurs at $7.5 \times 10^{-7} \mathrm{~m}$, what is the wavelength at which the second emission occurs?
A certain gas absorbs photon of wavelength $4.0 \times 10^{-7} \mathrm{~m}$ and emits radiation at two wavelengths. If one of the emissions occurs at $7.5 \times 10^{-7} \mathrm{~m}$, what is the wavelength at which the second emission occurs?
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt

The following results were obtained during study of the reaction $2 \mathrm{NO}(\mathrm{g})+\mathrm{Cl}_2(\mathrm{~g}) \rightarrow 2 \mathrm{NOCl}(\mathrm{g})$. Determine the value of $[\mathrm{X}]$ in $\mathrm{mol} / \mathrm{L}$

Experiment [NO]
mol / L		 [Cl$_2$]
mol / L		 Initial rate of formation. [NOCl]
mol / L / min
I 0.2 0.2 $6.0 \times 10^{-3}$
II 0.2 0.4 $2.4 \times 10^{-2}$
III 0.4 0.2 $1.2 \times 10^{-2}$
IV X 0.6 $1.35 \times 10^{-1}$

The following results were obtained during study of the reaction $2 \mathrm{NO}(\mathrm{g})+\mathrm{Cl}_2(\mathrm{~g}) \rightarrow 2 \mathrm{NOCl}(\mathrm{g})$. Determine the value of $[\mathrm{X}]$ in $\mathrm{mol} / \mathrm{L}$

Experiment [NO]
mol / L		 [Cl$_2$]
mol / L		 Initial rate of formation. [NOCl]
mol / L / min
I 0.2 0.2 $6.0 \times 10^{-3}$
II 0.2 0.4 $2.4 \times 10^{-2}$
III 0.4 0.2 $1.2 \times 10^{-2}$
IV X 0.6 $1.35 \times 10^{-1}$

Q.59 Correct
Q.59 In-correct
Q.59 Unattempt

Two statements, One Assertion [ A ] and the other Reason [ R ] are given. Identify the correct option

Assertion $[A]$ : The decreasing order of the acidic character of the following is $B>D>A>C$

COMEDK 2025 Morning Shift Chemistry - Carboxylic Acids and Its Derivatives Question 4 English

Reason $[\mathbf{R}]$ : Fluorine has larger -I effect than Cl and Br .

Two statements, One Assertion [ A ] and the other Reason [ R ] are given. Identify the correct option

Assertion $[A]$ : The decreasing order of the acidic character of the following is $B>D>A>C$

COMEDK 2025 Morning Shift Chemistry - Carboxylic Acids and Its Derivatives Question 4 English

Reason $[\mathbf{R}]$ : Fluorine has larger -I effect than Cl and Br .
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
According to Bohr's theory of hydrogen atom, the speed of the electron, its energy and radius of its orbit vary with the principal quantum number $n$, respectively as
According to Bohr's theory of hydrogen atom, the speed of the electron, its energy and radius of its orbit vary with the principal quantum number $n$, respectively as
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
A particle of mass $M$ at rest decays into masses $m_1$ and $m_2$ with non-zero velocities. The ratio of de Broglie wavelengths $\lambda_1$ and $\lambda_2$ of the particles is
A particle of mass $M$ at rest decays into masses $m_1$ and $m_2$ with non-zero velocities. The ratio of de Broglie wavelengths $\lambda_1$ and $\lambda_2$ of the particles is
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt

The nuclear forces

a. are central forces, independent of the spin of the nucleons.

b. have a short-range dominant over a distance of about a few fermi

c. are stronger being hundred times stronger than that of electromagnetic forces.

d. are independent of the nuclear charge.

Which of the above is not true?

The nuclear forces

a. are central forces, independent of the spin of the nucleons.

b. have a short-range dominant over a distance of about a few fermi

c. are stronger being hundred times stronger than that of electromagnetic forces.

d. are independent of the nuclear charge.

Which of the above is not true?
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
Two light rays A and B travel from a medium into air at angles of incidence 15 degrees and 42 degrees respectively. In the medium, light travels 3 cm in 0.2 ns . Will there be total internal reflection? If so, which ray?
Two light rays A and B travel from a medium into air at angles of incidence 15 degrees and 42 degrees respectively. In the medium, light travels 3 cm in 0.2 ns . Will there be total internal reflection? If so, which ray?
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
An electric field $E=3 x^2 i N C^{-1}$ exists in a certain region of space. The potential difference between the origin and at $x=4 m, V_0-V_4$ is
An electric field $E=3 x^2 i N C^{-1}$ exists in a certain region of space. The potential difference between the origin and at $x=4 m, V_0-V_4$ is
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
A current loop consists of two identical semicircular parts each of radius $2 R$, one lying in the $x-y$ plane and the other in $x-z$ plane. If the current in the loop is I, the resultant magnetic field due to two semicircular parts at their common centre is
A current loop consists of two identical semicircular parts each of radius $2 R$, one lying in the $x-y$ plane and the other in $x-z$ plane. If the current in the loop is I, the resultant magnetic field due to two semicircular parts at their common centre is
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
Which of the following is not a characteristic of diamagnetism?
Which of the following is not a characteristic of diamagnetism?
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt

An ideal inductor is connected across a capacitor. Oscillations of energy $K$ are set up in the circuit. The capacitor plates are slowly drawn apart such that the frequency of oscillations is quadrupled. The work done in the process is

An ideal inductor is connected across a capacitor. Oscillations of energy $K$ are set up in the circuit. The capacitor plates are slowly drawn apart such that the frequency of oscillations is quadrupled. The work done in the process is
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
A symmetric double convex lens is cut into two equal parts by a plane perpendicular to the principal axis. If the power of the original lens is 4D, the difference between the powers of the original lens and the cut lens is
A symmetric double convex lens is cut into two equal parts by a plane perpendicular to the principal axis. If the power of the original lens is 4D, the difference between the powers of the original lens and the cut lens is
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
Three identical conducting balls $\mathrm{A}, \mathrm{B}$ and C , each of mass m , are thrown upward at an angle $\Theta$ to the horizontal with an initial speed $v$ in a region of space that has a uniform electric field $E$ downward along with the gravitational field $g . A$ is positively charged, B is uncharged and C is negatively charged. Rank the ranges R of these three balls in increasing order.
Three identical conducting balls $\mathrm{A}, \mathrm{B}$ and C , each of mass m , are thrown upward at an angle $\Theta$ to the horizontal with an initial speed $v$ in a region of space that has a uniform electric field $E$ downward along with the gravitational field $g . A$ is positively charged, B is uncharged and C is negatively charged. Rank the ranges R of these three balls in increasing order.
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt

In a single slit Fraunhofer diffraction pattern obtained at normal incidence, at the angular position of the second diffraction minimum the phase difference (in radian) between the waves from the opposite edges of the slit is

In a single slit Fraunhofer diffraction pattern obtained at normal incidence, at the angular position of the second diffraction minimum the phase difference (in radian) between the waves from the opposite edges of the slit is
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
The magnetic flux $\phi$ through a stationary loop of wire having a resistance R varies with time as $\phi=4 t^2+3 t$. The average emf and total charge flowing in the loop in the time interval $t=0$ to $t=\tau$ respectively are
The magnetic flux $\phi$ through a stationary loop of wire having a resistance R varies with time as $\phi=4 t^2+3 t$. The average emf and total charge flowing in the loop in the time interval $t=0$ to $t=\tau$ respectively are
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
A stone is dropped from a height $h$. It hits the ground with a certain momentum ' $p$ '. If the same stone is dropped from a different height h ' such that percentage change in momentum is $41.4 \%$, then the height from which the stone is dropped is $\mathrm{h}^{\prime}=x \mathrm{~h}$, where $x$ is:
A stone is dropped from a height $h$. It hits the ground with a certain momentum ' $p$ '. If the same stone is dropped from a different height h ' such that percentage change in momentum is $41.4 \%$, then the height from which the stone is dropped is $\mathrm{h}^{\prime}=x \mathrm{~h}$, where $x$ is:
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
Point charges $-3 Q,-q, 2 q$ and $2 Q$ are placed, one at each corner of a square. The relation between Q and q for which the potential at the centre of the square is zero is
Point charges $-3 Q,-q, 2 q$ and $2 Q$ are placed, one at each corner of a square. The relation between Q and q for which the potential at the centre of the square is zero is
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
If $R$ and $L$ denote resistance and inductance of a material, then the dimension of $L R$ will be:
If $R$ and $L$ denote resistance and inductance of a material, then the dimension of $L R$ will be:
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
A student measures the terminal potential difference $V$ of a cell (emf $\varepsilon$ and internal resistance $r$ ) as a function of current I flowing through it, and draws V versus I graph. The slope and intercept of the graph respectively are
A student measures the terminal potential difference $V$ of a cell (emf $\varepsilon$ and internal resistance $r$ ) as a function of current I flowing through it, and draws V versus I graph. The slope and intercept of the graph respectively are
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
A galvanometer of resistance $50 \Omega$ is connected to a battery of 4 V along with a resistance of $3950 \Omega$ in series. A full-scale deflection of 30 divisions is obtained in the galvanometer. In order to reduce this deflection to 10 divisions, the resistance in series should be equal to:
A galvanometer of resistance $50 \Omega$ is connected to a battery of 4 V along with a resistance of $3950 \Omega$ in series. A full-scale deflection of 30 divisions is obtained in the galvanometer. In order to reduce this deflection to 10 divisions, the resistance in series should be equal to:
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
Two capacitors $\mathrm{C}_1$ and $\mathrm{C}_2$ are charged to 100 V and 120 V respectively. It is found that upon connecting them together in parallel, the potential on each one of them is zero. Therefore
Two capacitors $\mathrm{C}_1$ and $\mathrm{C}_2$ are charged to 100 V and 120 V respectively. It is found that upon connecting them together in parallel, the potential on each one of them is zero. Therefore
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
Two very long, straight, parallel wires carry steady currents I and 21 respectively. The distance between the wires is d . At a certain instant of time, a point charge $q$ is at a point equidistant from the two wires, in the plane of the wires. Its instantaneous velocity is v perpendicular to this plane. The magnitude of the force due to the magnetic field acting on the charge at this instant is
Two very long, straight, parallel wires carry steady currents I and 21 respectively. The distance between the wires is d . At a certain instant of time, a point charge $q$ is at a point equidistant from the two wires, in the plane of the wires. Its instantaneous velocity is v perpendicular to this plane. The magnitude of the force due to the magnetic field acting on the charge at this instant is
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
A bulb of resistance 280 Ohm is supplied with a voltage $\mathrm{V}=400 \sin \pi \mathrm{t}$. The peak current is
A bulb of resistance 280 Ohm is supplied with a voltage $\mathrm{V}=400 \sin \pi \mathrm{t}$. The peak current is
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
A wooden block floats with $\frac{3}{5}$ of its volume submerged in a tank of water. If a denser liquid is poured into the tank, the wooden block floats with half its volume in the liquid and the remaining half in water. The relative density of the liquid is:
A wooden block floats with $\frac{3}{5}$ of its volume submerged in a tank of water. If a denser liquid is poured into the tank, the wooden block floats with half its volume in the liquid and the remaining half in water. The relative density of the liquid is:
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
A particle starts from rest and moves along the x -axis with a velocity that varies as $\mathrm{v}=\sqrt{100+4 x} \mathrm{~ms}^{-1}$. The acceleration of the particle is:
A particle starts from rest and moves along the x -axis with a velocity that varies as $\mathrm{v}=\sqrt{100+4 x} \mathrm{~ms}^{-1}$. The acceleration of the particle is:
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
One surface of a lens is convex and the other is concave. If the radii of curvatures are $R$ and $r$ respectively, the lens will be convex if
One surface of a lens is convex and the other is concave. If the radii of curvatures are $R$ and $r$ respectively, the lens will be convex if
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
Emission of electrons from a metal plate illuminated with monochromatic electromagnetic radiation will always take place provided
Emission of electrons from a metal plate illuminated with monochromatic electromagnetic radiation will always take place provided
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
A charged particle is released from rest in a region of space in which steady and uniform electric and magnetic fields are parallel to each other. The particle will move in a
A charged particle is released from rest in a region of space in which steady and uniform electric and magnetic fields are parallel to each other. The particle will move in a
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
If E is the amplitude of the electric field of the waves starting from the slits in a double slit experiment and $\theta$ is the phase difference between the waves reaching a point on the screen, the ratio of the amplitude of the resultant electric field at that point on the screen to the amplitude at one of the slits is
If E is the amplitude of the electric field of the waves starting from the slits in a double slit experiment and $\theta$ is the phase difference between the waves reaching a point on the screen, the ratio of the amplitude of the resultant electric field at that point on the screen to the amplitude at one of the slits is
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
Two coherent waves of intensities $I_1$ and $I_2$ pass through a region at the same time in the same direction. The sum of maximum to minimum intensities is
Two coherent waves of intensities $I_1$ and $I_2$ pass through a region at the same time in the same direction. The sum of maximum to minimum intensities is
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt

A Si and a Ge diode has identical physical dimensions. The band gap in Si is larger than that in Ge. On applying identical reverse bias across these diodes,

A Si and a Ge diode has identical physical dimensions. The band gap in Si is larger than that in Ge. On applying identical reverse bias across these diodes,
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
A convex lens forms a real image of an object with magnification $m_1$. The lens is moved towards the object to obtain another real image of magnification $m_2$. The image distance is increased by $x$. The focal length of the lens is
A convex lens forms a real image of an object with magnification $m_1$. The lens is moved towards the object to obtain another real image of magnification $m_2$. The image distance is increased by $x$. The focal length of the lens is
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt

For the charge configuration shown here, which of the following is not true?

COMEDK 2025 Morning Shift Physics - Electrostatics Question 11 English

For the charge configuration shown here, which of the following is not true?

COMEDK 2025 Morning Shift Physics - Electrostatics Question 11 English
Q.31 Correct
Q.31 In-correct
Q.31 Unattempt
A bomb of mass 20 kg at rest explodes into two pieces of masses 12 kg and 8 kg . If the velocity of 8 kg mass is $6 \mathrm{~ms}^{-1}$, then the kinetic energy of the other mass is:
A bomb of mass 20 kg at rest explodes into two pieces of masses 12 kg and 8 kg . If the velocity of 8 kg mass is $6 \mathrm{~ms}^{-1}$, then the kinetic energy of the other mass is:
Q.32 Correct
Q.32 In-correct
Q.32 Unattempt
Two identical conducting balls having positive charges $q_1$ and $q_2$ are separated by a distance $r$. If they are made to touch each other and then separated to the same distance, the force between them will be
Two identical conducting balls having positive charges $q_1$ and $q_2$ are separated by a distance $r$. If they are made to touch each other and then separated to the same distance, the force between them will be
Q.33 Correct
Q.33 In-correct
Q.33 Unattempt
Two simple harmonic motions are represented by equations $y_1=0.5 \sin \left[200 \pi \mathrm{t}+\frac{\pi}{3}\right]$ and $y_1=0.5 \cos \pi \mathrm{t}$. The phase difference of the velocity of particle 1 with respect to the velocity of particle 2 is :
Two simple harmonic motions are represented by equations $y_1=0.5 \sin \left[200 \pi \mathrm{t}+\frac{\pi}{3}\right]$ and $y_1=0.5 \cos \pi \mathrm{t}$. The phase difference of the velocity of particle 1 with respect to the velocity of particle 2 is :
Q.34 Correct
Q.34 In-correct
Q.34 Unattempt
Two identical conductors of lengths 1 and 31 respectively are maintained at the same temperature. They are given potential differences in the ratio $1: 3$. The ratio of their drift velocities is
Two identical conductors of lengths 1 and 31 respectively are maintained at the same temperature. They are given potential differences in the ratio $1: 3$. The ratio of their drift velocities is
Q.35 Correct
Q.35 In-correct
Q.35 Unattempt
If voltage across a bulb rated $220 \mathrm{~V}, 50 \mathrm{~W}$ drops by $5 \%$ of its rated value, the percentage of the rated value by which the power would decrease is
If voltage across a bulb rated $220 \mathrm{~V}, 50 \mathrm{~W}$ drops by $5 \%$ of its rated value, the percentage of the rated value by which the power would decrease is
Q.36 Correct
Q.36 In-correct
Q.36 Unattempt
A vertical spring of spring constant $24 \mathrm{Nm}^{-1}$ is fixed on a table. A ball of mass 0.5 kg at a height 2 m above the free upper end of the spring falls vertically on the spring so that the spring is compressed by a distance of 50 cm . The net work done in the process is:
A vertical spring of spring constant $24 \mathrm{Nm}^{-1}$ is fixed on a table. A ball of mass 0.5 kg at a height 2 m above the free upper end of the spring falls vertically on the spring so that the spring is compressed by a distance of 50 cm . The net work done in the process is:
Q.37 Correct
Q.37 In-correct
Q.37 Unattempt
The resistance of a wire is 5 ohm at $25^{\circ} \mathrm{C}$ and 7 ohm at $100^{\circ} \mathrm{C}$. The resistance of the wire at $0^{\circ} \mathrm{C}$ is
The resistance of a wire is 5 ohm at $25^{\circ} \mathrm{C}$ and 7 ohm at $100^{\circ} \mathrm{C}$. The resistance of the wire at $0^{\circ} \mathrm{C}$ is
Q.38 Correct
Q.38 In-correct
Q.38 Unattempt
A sonometer string vibrates with a frequency of 400 Hz . When the length of the string is halved and the tension is altered, it begins to vibrate with a frequency of 200 Hz . The ratio of the new tension to the original tension in the string is:
A sonometer string vibrates with a frequency of 400 Hz . When the length of the string is halved and the tension is altered, it begins to vibrate with a frequency of 200 Hz . The ratio of the new tension to the original tension in the string is:
Q.39 Correct
Q.39 In-correct
Q.39 Unattempt
In an experiment to measure the density of the material of a sphere, an error of $2 \%$ occurred while measuring the radius of a sphere and an error of $3 \%$ occurred while measuring the mass of the sphere. What is the maximum percentage error in the measurement of density?
In an experiment to measure the density of the material of a sphere, an error of $2 \%$ occurred while measuring the radius of a sphere and an error of $3 \%$ occurred while measuring the mass of the sphere. What is the maximum percentage error in the measurement of density?
Q.40 Correct
Q.40 In-correct
Q.40 Unattempt
The radius of earth is $R$ and acceleration due to gravity on its surface is $g$. The height at which the acceleration due to gravity becomes $\frac{g}{8}$ is:
The radius of earth is $R$ and acceleration due to gravity on its surface is $g$. The height at which the acceleration due to gravity becomes $\frac{g}{8}$ is:
Q.41 Correct
Q.41 In-correct
Q.41 Unattempt
A block of metal A is connected in series with another block of metal B such that the two metal blocks have the same area of cross sections. The thermal conductivity of metal A is K and the free end of metal A is at $80^{\circ} \mathrm{C}$. The temperature of the interface is $60^{\circ} \mathrm{C}$ and the free end of metal B is at $20^{\circ} \mathrm{C}$. Assuming the two metals have the same thickness, the conductivity of metal B is:
A block of metal A is connected in series with another block of metal B such that the two metal blocks have the same area of cross sections. The thermal conductivity of metal A is K and the free end of metal A is at $80^{\circ} \mathrm{C}$. The temperature of the interface is $60^{\circ} \mathrm{C}$ and the free end of metal B is at $20^{\circ} \mathrm{C}$. Assuming the two metals have the same thickness, the conductivity of metal B is:
Q.42 Correct
Q.42 In-correct
Q.42 Unattempt
The mean energy per molecule for a diatomic gas is:
The mean energy per molecule for a diatomic gas is:
Q.43 Correct
Q.43 In-correct
Q.43 Unattempt
An LCR series ac circuit is at resonance with 10 V each across $\mathrm{L}, \mathrm{C}$ and R . If the resistance is halved, the respective voltage across $R, C$ and $L$ are
An LCR series ac circuit is at resonance with 10 V each across $\mathrm{L}, \mathrm{C}$ and R . If the resistance is halved, the respective voltage across $R, C$ and $L$ are
Q.44 Correct
Q.44 In-correct
Q.44 Unattempt

Which, of the following is true of the Balmer series of the hydrogen spectrum?

a. The series is in the visible region.

b. The entire series falls in the ultraviolet region

c. The entire series falls in the infrared region

d. The series is partly in the visible region and partly in the infrared region

Which, of the following is true of the Balmer series of the hydrogen spectrum?

a. The series is in the visible region.

b. The entire series falls in the ultraviolet region

c. The entire series falls in the infrared region

d. The series is partly in the visible region and partly in the infrared region
Q.45 Correct
Q.45 In-correct
Q.45 Unattempt
If the binding energy per nucleon in $3 \mathrm{Li}^7$ and ${ }_2 \mathrm{He}^4$ nuclei are respectively 5.60 MeV and 7.06 MeV , then energy of $p$ in the reaction $p+{ }_3 \mathrm{Li}^7 \rightarrow 2{ }_2 \mathrm{He}^4$ is
If the binding energy per nucleon in $3 \mathrm{Li}^7$ and ${ }_2 \mathrm{He}^4$ nuclei are respectively 5.60 MeV and 7.06 MeV , then energy of $p$ in the reaction $p+{ }_3 \mathrm{Li}^7 \rightarrow 2{ }_2 \mathrm{He}^4$ is
Q.46 Correct
Q.46 In-correct
Q.46 Unattempt
From a circular disc of radius 2 R , a smaller circular disc is cut with radius of the larger disc as its diameter. The centre of the hole is at a distance of $R$ from the centre of the original disc. The distance of the centre of mass of the remaining portion from the centre is:
From a circular disc of radius 2 R , a smaller circular disc is cut with radius of the larger disc as its diameter. The centre of the hole is at a distance of $R$ from the centre of the original disc. The distance of the centre of mass of the remaining portion from the centre is:
Q.47 Correct
Q.47 In-correct
Q.47 Unattempt
The ratio of specific heat capacities at constant pressure to that at constant volume for a given mass of a gas is $\frac{5}{2}$. If the percentage increase in volume of the gas while undergoing an adiabatic change is $\frac{3}{2}$, then the percentage decrease in pressure will be:
The ratio of specific heat capacities at constant pressure to that at constant volume for a given mass of a gas is $\frac{5}{2}$. If the percentage increase in volume of the gas while undergoing an adiabatic change is $\frac{3}{2}$, then the percentage decrease in pressure will be:
Q.48 Correct
Q.48 In-correct
Q.48 Unattempt
A planet is 121 times heavier than moon and has a diameter 9 times that of moon. If the escape velocity on the planet is $v$, then the escape velocity on the moon will be:
A planet is 121 times heavier than moon and has a diameter 9 times that of moon. If the escape velocity on the planet is $v$, then the escape velocity on the moon will be:
Q.49 Correct
Q.49 In-correct
Q.49 Unattempt
The electrical conductivity of a semiconductor increases when electromagnetic radiation of wavelength shorter than $1.24 \mu \mathrm{~m}$ is incident on it. The band gap (in eV ) for the semiconductor is
The electrical conductivity of a semiconductor increases when electromagnetic radiation of wavelength shorter than $1.24 \mu \mathrm{~m}$ is incident on it. The band gap (in eV ) for the semiconductor is
Q.50 Correct
Q.50 In-correct
Q.50 Unattempt
In a nuclear fusion reaction, two nuclei, $A$ and $B$ fuse to produce a nucleus $C$, releasing an amount of energy $\Delta \mathrm{E}$ in the process. If the mass defects of the three nuclei are $\Delta M_A, \Delta M_B$ and $\Delta M_C$ respectively, then which of the following relations is true? ( $c$ is the speed of light).
In a nuclear fusion reaction, two nuclei, $A$ and $B$ fuse to produce a nucleus $C$, releasing an amount of energy $\Delta \mathrm{E}$ in the process. If the mass defects of the three nuclei are $\Delta M_A, \Delta M_B$ and $\Delta M_C$ respectively, then which of the following relations is true? ( $c$ is the speed of light).
Q.51 Correct
Q.51 In-correct
Q.51 Unattempt

In the energy band diagram of a material shown below, open circles and filled circles denote holes and electrons respectively. The material is a

COMEDK 2025 Morning Shift Physics - Semiconductor Devices and Logic Gates Question 7 English

In the energy band diagram of a material shown below, open circles and filled circles denote holes and electrons respectively. The material is a

COMEDK 2025 Morning Shift Physics - Semiconductor Devices and Logic Gates Question 7 English
Q.52 Correct
Q.52 In-correct
Q.52 Unattempt
A particle moves towards west with a velocity of $10 \mathrm{~ms}^{-1}$. After 10s its direction changes towards south and it moves with the same velocity. The average acceleration of the particle is:
A particle moves towards west with a velocity of $10 \mathrm{~ms}^{-1}$. After 10s its direction changes towards south and it moves with the same velocity. The average acceleration of the particle is:
Q.53 Correct
Q.53 In-correct
Q.53 Unattempt
The electric and magnetic fields associated with an electromagnetic wave propagating along +z axis, can be represented by
The electric and magnetic fields associated with an electromagnetic wave propagating along +z axis, can be represented by
Q.54 Correct
Q.54 In-correct
Q.54 Unattempt

A bar magnet is oscillating in the earth's magnetic field with a period $T$. When the length of the bar magnet is doubled and its mass is quadrupled, the time period is $T_1$. The ratio of $T_1$ to $T$ is

A bar magnet is oscillating in the earth's magnetic field with a period $T$. When the length of the bar magnet is doubled and its mass is quadrupled, the time period is $T_1$. The ratio of $T_1$ to $T$ is
Q.55 Correct
Q.55 In-correct
Q.55 Unattempt

A cylindrical tank 0.5 m in radius, rests on a platform 1.5 m high. Initially the tank is filled with water to a height of 2.5 m . A small plug whose area is $10^{-4} \mathrm{~m}^2$ is removed from an orifice located on the side of the tank at the bottom. The speed with which the water strikes the ground is: [Assume $g=10 \mathrm{~ms}^{-2}$ ]

A cylindrical tank 0.5 m in radius, rests on a platform 1.5 m high. Initially the tank is filled with water to a height of 2.5 m . A small plug whose area is $10^{-4} \mathrm{~m}^2$ is removed from an orifice located on the side of the tank at the bottom. The speed with which the water strikes the ground is: [Assume $g=10 \mathrm{~ms}^{-2}$ ]
Q.56 Correct
Q.56 In-correct
Q.56 Unattempt
A long solenoid has 400 turns. When a current of 100 A is passed through it, the resulting magnetic flux linked with each turn of the solenoid is 4 mWb . The self-inductance of the solenoid is
A long solenoid has 400 turns. When a current of 100 A is passed through it, the resulting magnetic flux linked with each turn of the solenoid is 4 mWb . The self-inductance of the solenoid is
Q.57 Correct
Q.57 In-correct
Q.57 Unattempt
Which of the following is not true for a perfect conductor?
Which of the following is not true for a perfect conductor?
Q.58 Correct
Q.58 In-correct
Q.58 Unattempt
Young's modulus of the material of wires X and Y are in the ratio 4:1 and the areas of cross sections of the wires X and Y are in the ratio $2: 1$. If the same amount of load is applied to both the wires, the ratio of elongation produced in the wires X and Y will be: (Assume length of the wires X and Y initially are the same)
Young's modulus of the material of wires X and Y are in the ratio 4:1 and the areas of cross sections of the wires X and Y are in the ratio $2: 1$. If the same amount of load is applied to both the wires, the ratio of elongation produced in the wires X and Y will be: (Assume length of the wires X and Y initially are the same)
Q.59 Correct
Q.59 In-correct
Q.59 Unattempt
A force of $-\mathrm{F} \hat{\mathbf{i}}$ acts at the origin of the coordinate system. The torque about the point $(0,1,-1)$ is:
A force of $-\mathrm{F} \hat{\mathbf{i}}$ acts at the origin of the coordinate system. The torque about the point $(0,1,-1)$ is:
Q.60 Correct
Q.60 In-correct
Q.60 Unattempt

A sample of an ideal gas is taken through the cyclic process ABCA as shown in figure below. It absorbs 60 J of heat during the part AB and rejects 80 J of heat during CA . There is no heat exchanged during the process $\mathrm{BC} . \mathrm{A}$ work of 40 J is done on the gas during the part BC . If the internal energy of the gas at A is 1450 J , then the work done by the gas during the part CA is:

COMEDK 2025 Morning Shift Physics - Heat and Thermodynamics Question 9 English

A sample of an ideal gas is taken through the cyclic process ABCA as shown in figure below. It absorbs 60 J of heat during the part AB and rejects 80 J of heat during CA . There is no heat exchanged during the process $\mathrm{BC} . \mathrm{A}$ work of 40 J is done on the gas during the part BC . If the internal energy of the gas at A is 1450 J , then the work done by the gas during the part CA is:

COMEDK 2025 Morning Shift Physics - Heat and Thermodynamics Question 9 English
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