What happens to the electropositive character of elements on moving from left to right in a periodic table?

Identify the correct statement about nomenclature of alkyl halide.

The first order rate constant for the decomposition of \(\mathrm{CaCO}_3\) at \(700 \mathrm{~K}\) is \(6.36 \times 10^{-3} \mathrm{~s}^{-1}\) and activation energy is \(209 \mathrm{~kJ} \mathrm{~mol}^{-1}\). Its rate constant (in \(\mathrm{s}^{-1}\) ) at \(600 \mathrm{~K}\) is \(\mathrm{x} \times 10^{-6}\). The value of \(\mathrm{x}\) is________ (Nearest integer)

[Given, \(\mathrm{R}=8.31 \mathrm{JK}^{-1} \mathrm{~mol}^{-1}, \log 6.36 \times 10^{-3}\) \(\left.=-2.19,10^{-4.79}=1.62 \times 10^{-5}\right]\)

The appearance of colour in solid alkali metal halides is generally due to:

The heat change associated with reactions at constant volume is due to the difference in which property of the reactants and the products?

Identify the Lewis acid in \(\mathrm{K}_{3}\left[\mathrm{Al}\left(\mathrm{C}_{2} \mathrm{O}_{4}\right)_{3}\right]\).

Which substance is produced when alcohol is added with petrol and used as a fuel?

Calculate the 'spin only' magnetic moment of \({M}^{2+}{ }_{\text {(aq) }}\) ion \(({Z}=27 )\).

Hess's law of constant heat summation is based on:

pH of a saturated solution of Ca(OH)₂ is 9. The solubility product (K_sp) of Ca(OH)₂ is

The correct IUPAC name of the following alkane is:

The major product formed in the following reaction is

In order to increase the volume of a gas by $10\%$, the pressure of the gas should be-

The correct order of increasing acidic strength is:

Which is not consistent with double helical structure of DNA?

In a cubic unit cell, seven of the eight corners are occupied by atom A and faces are occupied by B. The general formula of the substance having this type of structure would be:

Which of the following haloalkanes is most reactive?

Which of the following oxidation states are most characteristic for lead and tin respectively?

The solution of H₂O₂ can be stored for a long time at room temperature. However, bubbles of oxygen form as soon as a drop of bromine is added. The role of bromine for the reaction 2H₂O₂(aq) → 2H₂O(l) + O₂(g) is:

Rate of the reaction depends on:

To lower the melting point of \(75 {~g}\) of acetic acid by \(1.5^{\circ} {C}\), how much mass of ascorbic acid is needed to be dissolved in the solution where \(K_{f}=3.9\) \({K} {~kg} {~mol}^{-1}\)?

The structure of IF₇ is:

Chlorine exists in two isotopic forms, \(Cl - 37\) and \(Cl -35\) but its atomic mass is \(35.5\). This indicates the ratio of \(Cl -37\) and \(Cl -35\) is approximately:

Benzyl isocyanide can be obtained by :

Choose the correct answer from the options given below :

Which of the following is the formula of Sorel's cement?

The standard reduction potential for the half-cell reaction, \({Cl}_{2}+2 e^{-} \rightarrow 2 {Cl}^{-}\) will be:

\({Pt}^{2+}+2 {Cl}^{-} \rightarrow {Pt}+{Cl}_{2}, E_{\text {cell }}^{o}=-0.15 {~V}\);

\({Pt}^{2+}+2 e^{-} \rightarrow {Pt}, E^{o}=1.20 {~V}\)

Which of the following is not a part of enzyme but it activates the enzyme?

Which of the following compounds contains 1°, 2°, 3° as well as 4° carbon atoms?

According to molecular orbital theory, the species among the following that does not exist is

Match List - I with List - II.

Choose the correct answer from the options given below :

Given below are the half-cell reactions:

\(M n^{2+}+2 e^{-} \rightarrow M n ; E^{\circ}=-1.18 V\)

\(2\left(M n^{3+}+e^{-} \rightarrow M n^{2+}\right) ; E^{\circ}=+1.51 V\)

The \(E^{\circ}\) for \(3 \mathrm{Mn}^{2+} \rightarrow \mathrm{Mn}+2 \mathrm{Mn}^{3+}\) will be:

During osmosis, flow of water through a semi-permeable membrane is:

Which element has three shells which are completely filled with electrons?

Which of the following element exhibits \(+3\) oxidation State only?

Which of the following is the coordination entity in \(\mathrm{K}_{2}\left[\mathrm{Zn}(\mathrm{OH})_{4}\right]\) ?

Boiling points of carbonyl compounds are higher than those of alkanes due to:

Among the following the maximum covalent character is shown by the compound:

Among the following four structures I to IV,

it is true that

Which of the following is formed when an alkyl primary amine reacts with nitrous acid?

Functional group -CHO is present in which of the following?

Reagent, 1 -naphthylamine and sulphanilic acid in acetic acid is used for the detection of:

Match List - I with List - II and select the correct answer by using the codes given below the list:

The number of moles of electrons passed when a current of \(2 A\) is passed through a solution of electrolyte for \(20\) minutes is:

Given below are the half-cell reactions:

\(M n^{2+}+2 e^{-} \rightarrow M n ; E^{o}=-1.18 V\)

\(2\left(M n^{3+}+e^{-} \rightarrow M n^{2+}\right) ; E^{o}=+1.51 V\)

The \(E^{o}\) for \(3 \mathrm{Mn}^{2+} \rightarrow M n+2 M n^{3+}\) will be:

\(25 \mathrm{~mL}\) of an aqueous solution of \(\mathrm{KCl}\) was found to require \(20 \mathrm{~mL}\) of \(1 \mathrm{M} \mathrm{AgNO}_3\) solution when titrated using \(\mathrm{K}_2 \mathrm{CrO}_4\) as an indicator. What is the depression in freezing point of \(\mathrm{KCl}\) solution of the given concentration?______________(Nearest integer).

(Given : \(\mathrm{K}_{\mathrm{f}}=2.0 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\) )

Assume

(1) \(100 \%\) ionization and

(2) density of the aqueous solution as \(1 \mathrm{gmL}^{-1}\)

The pair of ions having same electronic configuration is __________.

The pair of compounds in which the metals are in their highest oxidation state is:

Butanone is a four-carbon compound with the functional group –

Some medicines are more effective in the colloidal form because of:

The isotope of hydrogen, \(D _{2}\) forms heavy water, \(D _{2} O\). It is qualified as \(D _{2} O\) because it is:

Conjugate base for Bronsted acids H₂O and HF are:

The product(s) formed when \(H _{2} O _{2}\) reacts with disodium hydrogen phosphate is:

\(1.22 \mathrm{~g}\) of an organic acid is separately dissolved in \(100 \mathrm{~g}\) of benzene \(\left(\mathrm{K}_{\mathrm{b}}=2.6 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\right)\) and \(100 \mathrm{~g}\) of acetone \(\left(\mathrm{K}_{\mathrm{b}}=1.7 \mathrm{Kkg} \mathrm{mol}^{-1}\right)\). The acid is known to dimerise in benzene but remain as a monomer in acetone. The boiling point of the solution in acetone increases by \(0.17^{\circ} \mathrm{C}\). The increase in boiling point of solution in benzene in \({ }^{\circ} \mathrm{C}\) is \(\mathrm{x} \times 10^{-2}\). The value of \(\mathrm{x}\) is....... (Nearest integer)

[Atomic mass: \(\mathrm{C}=12.0, \mathrm{H}=1.0, \mathrm{O}=16.0\) ]

For a given chemical reaction

\(\gamma_1 \mathrm{~A}+\gamma_2 \mathrm{~B} \rightarrow \gamma_3 \mathrm{C}+\gamma_4 \mathrm{D}\)

Concentration of \(\mathrm{C}\) changes from \(10 \mathrm{mmol} \mathrm{dm}^{-3}\) to \(20 \mathrm{mmol} \mathrm{dm}^{-3}\) in 10 seconds. Rate of appearance of \(D\) is 1.5 times the rate of disappearance of \(\mathrm{B}\) which is twice the rate of disappearance \(\mathrm{A}\). The rate of appearance of \(D\) has been experimentally determined to be \(9 \mathrm{mmol} \mathrm{dm}^{-3} \mathrm{~s}^{-1}\). Therefore, the rate of reaction is____________ammol dm \(\mathrm{s}^{-1} \cdot(\) Nearest Integer)

When a primary amine reacts with chloroform in alcoholic KOH. The product is:

Generally transition elements form coloured salts due to the presence of unpaired electrons. Which of the following compounds will be coloured in solid state? 

When excess of Kl is added to copper sulphate solution:

Which of the following energy state is filled by an electron after the completion of \(4 p\) orbital?

The incorrect expression among the following is:

Find the area of the region (in sq. units) bounded by the curve \(y^{2}=2 y-x\) and \(y\)-axis.

If \(\left|x^{2}-3 x+2\right|>x^{2}-3 x+2\), then which one of the following is correct?

If \(\mathrm{A}\) and \(\mathrm{B}\) are two events such that \(\mathrm{P}(\mathrm{A})=\frac{1}{3}, \mathrm{P}(\mathrm{B})=\frac{1}{5}\) and \(\mathrm{P}(\mathrm{A} \cup \mathrm{B})=\frac{1}{2}\), then \(\mathrm{P}(\mathrm{A} \mid \mathrm{B})+\mathrm{P}\left(\mathrm{B} \mid \mathrm{A}^{\prime}\right)\) is equal to:

If \(Z=1+i\), where \(i=\sqrt{-1}\), then what is the modulus of \(Z+\frac{2}{Z} ?\)

Let, \(R=\{(a, b): a, b \in Z\) and \((a+b)\) is even \(\}\), then \(R\) is:

The domain of \(\sin ^{-1} 5 x\) is:

If the chance that a vessel arrives safely at a port is \(\frac{9}{10}\) then what is the chance that out of \(5\) vessels expected at least \(4\) will arrive safely?

The volume generated by revolving the arc \(y=\sqrt{1+x^{2}}\) lying between \(x=0\) and \(x=4\) about \(x\) - axis is:

The solution of the inequality \(\frac{x}{4}>\frac{x}{2}+1\) will be:

Let \(\vec{a}=\hat{i}-\hat{j}+2 \hat{k}\) and let \(\vec{b}\) be a vector such that \(\vec{a} \times \vec{b}=2 \hat{i}-\hat{k}\) and \(\vec{a} \cdot \vec{b}=3\). Then the projection of \(\vec{b}\) on the vector \(\vec{a}-\vec{b}\) is:

If \({ }^{9} P_{5}+5 .{ }^{9} P_{4}={ }^{10} P_{r}\), then the value of \({r}\) is:

In formula Mean deviation \(= MD =\left(\frac{1}{n}\right)\sum| x - M |\) what does \(M\) indicates:

Which one of the following statements is correct?

What is \(\lim _{x \rightarrow 0} \frac{3^{x}+3^{-x}-2}{x}\) equal to?

One kind of cake requires \(200 \mathrm{~g}\) of flour and \(25 \mathrm{~g}\) of fat, and another kind of cake requires \(100 \mathrm{~g}\) of flour and \(50 \mathrm{~g}\) of fat. Find the maximum number of cakes which can be made from \(5 \mathrm{~kg}\) of flour and \(1 \mathrm{~kg}\) of fat assuming that there is no shortage of the other ingredients used in making the cakes.

Let \({f}({x})={x}-\frac{1}{{x}}\), then \({f}'(-1)\) is:

Solving an integer programming problem by rounding off answers obtained by solving it as a linear programming problem (using simplex), we find that:

If the lines \(\frac{x-3}{3}=\frac{y+4}{2}=\frac{z-1}{\lambda}\) and \(\frac{x+1}{3}=\frac{y-2}{2}=\frac{z}{1}\) are coplanar then find the value of \(\lambda\).

Evaluate the integral \(\int_{-1}^{1} 5 x^{4} \sqrt{x^{5}+1} d x\).

Let \(f(x)\) be a polynomial of degree four having extreme values at \(x=1\) and \(x=2\). If \(\lim _{x \rightarrow 0}\left[1+\frac{f(x)}{x^2}\right]=3\), then \(f(2)\) is equal to :

Let \(\mathrm{L}\) denote the set of all straight lines in a plane. Let a relation \(\mathrm{R}\) be defined by \(\mathrm{lRm}\) if and only if \(\mathrm{l}\) is parallel to \(\mathrm{m}, \forall\) \(\mathrm{l,m \in L}\). Then \(\mathrm{R}\) is:

What is the value of \(\underset{{{{x} \rightarrow 0}}}{\lim} \frac{(1-\cos 2 {x})^{3}}{{x}^{6}}\)?

Let the matrix \(A=\left[\begin{array}{lll}0 & 1 & 0 \\ 0 & 0 & 1 \\ 1 & 0 & 0\end{array}\right]\) and the matrix \(B_0=A^{49}+2 A^{98}\). If \(B_n=\operatorname{Adj}\left(B_{n-1}\right)\) for all \(n>1\), then \(\operatorname{det}\left(B_4\right)\) is equal to :

The number of ways in which 4 boys and 4 girls can be arranged in a row so, that no two girls and no two boys are together is:

Construct a \(3 \times 2\) matrix whose elements are given by \(a _{ ij }=\frac{1}{3}|2 i + j |\).

If a line is perpendicular to the line \(5 x-y=0\) and forms a triangle of area 5 square units with co-ordinate axes, then its equation is:

If \(f(x)=X^{5}-20 X^{3}+240 X\) then \(f'(x)\) is:

\(\left(A \cap B^{\prime}\right) \cup\left(A^{\prime} \cap B\right) \cup\left(A^{\prime} \cap B^{\prime}\right)\) is equal to:

Which one of the following factors does the expansion of the determinant \(\left|\begin{array}{ccc}x & y & 3 \\ x^{2} & 5 y^{3} & 9 \\ x^{3} & 10 y^{3} & 27\end{array}\right|\) contain?

The differential form of the equation \((y-b)=a \sin x\):

The solution of \(x^2 \frac{d y}{d x}=x^2+x y+y^2\) will be:

If (h, k) are the perpendicular distances from (1, 2, 3) to the x-axis, z-axis respectively, then hk is:

Consider the following in respect of a complex number \(Z\):

1. \(\overline{\left(Z^{-1}\right)}=(\bar{Z})^{-1}\)

2. \(Z Z^{-1}=|Z|^{2}\)

Which of the above is/are correct?

Find the sum of the series \(2+6+18+54+\ldots+4374 \).  

What is the value of \(\operatorname{cosec}^{2} \cot ^{-1}\left(\frac{5}{12}\right) ?\)

If five friends received their pocket money as 170, 430, 300, 600 and 470 respectively. Find the mean and mean deviation of the received pocket money.

Find the equation of the plane passing through the line of intersection of planes \(x+y\) \(+z=6\) and \(2 x+3 y+4 z+5=0\) and passing through the point (1,1,1).

If \(P=\left[\begin{array}{cc}1 & 0 \\ 1 / 2 & 1\end{array}\right]\), then \(P^{50}\) is:

For all \(n \in N\), \(\left(n^{2}+n\right)\) is:

Find the value of \(\cos \left(3015^{\circ}\right)\):

From a pack of \(52\) cards, two cards are drawn together at random. What is the probability of both the cards being kings?

Find the equation of a line having a slope of \(-2\) and passes through the intersection if \(2 x-y=1\) and \(x+ 2 y = 3\).

Let \(\mathrm{f}(\mathrm{x})\) be a polynomial of degree 4 having extreme values at \(\mathrm{x}=1\) and \(x=2\). If \(\lim _{x \rightarrow 0}\left(\frac{f(x)}{x^2}+1\right)=3\) then \(f(-1)\) is equal to:

If \(a, b, c\) are real numbers, then the value of the determinant \(\left|\begin{array}{ccc}1-a & a-b-c & b+c \\ 1-b & b-c-a & c+a \\ 1-c & c-a-b & a+b\end{array}\right|\) is:

Find the sum of the series whose nth term is:

n(n+1)(n+4)

A merchant plans to sell two types of personal computers, a desktop model and a portable model that will cost Rs 25000 and Rs 40000 respectively. He estimates that the total monthly demand of computers will not exceed 250 units. Determine the number of units of each type of computers which the merchant would stock to get maximum profit if he does not want to invest more than Rs 70 lakhs and if his profit on the desktop model is Rs 4500 and on portable model is Rs 5000 .

Let \(f(x)=\frac{1}{\sqrt{10-x^{2}}} \). What is the value of \(\lim _{x \rightarrow 1} \frac{{f}({x})-{f}(1)}{{x}-1}\)?

\(\mathrm{ABC}\) is a triangle, right angled at \(\mathrm{A}\). The resultant of the forces acting along \(\overline{\mathrm{AB}}, \overline{\mathrm{BC}}\) with magnitudes \(\frac{1}{\mathrm{AB}}\) and \(\frac{1}{\mathrm{AC}}\) respectively is the force along \(\overline{\mathrm{AD}}\), where \(\mathrm{D}\) is the foot of the perpendicular from \(\mathrm{A}\) onto \(\mathrm{BC}\). The magnitude of the resultant is:

Let \(\overrightarrow{\mathrm{a}}=\alpha \hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\beta \mathrm{k}}\) and \(\overrightarrow{\mathrm{b}}=3 \hat{\mathrm{i}}-5 \hat{\mathrm{j}}+4 \hat{\mathrm{k}}\) be two vectors, such that \(\vec{a} \times \vec{b}=-\hat{i}+9 \hat{i}+12 \hat{k}\). Then the projection of \(\vec{b}-2 \vec{a}\) on \(\vec{b}+\vec{a}\) is equal to:

\(\mathrm{P(n)=2 \times 7^{n}+3 \times 5^{n}}-5\) is divisible by:

If the expected value of a random variable \(X\) is 2 and its variance is 1, then what will be the variance of \(3 X+4\)?

What is the equation to the plane through (1, 2, 3) parallel to 3x + 4y - 5z = 0?

Which of the following equals \(1+\cot ^{2} \theta ?\)

Let \(A=\left[\begin{array}{l}1 \\ 1 \\ 1\end{array}\right]\) and \(B=\left[\begin{array}{ccc}9^2 & -10^2 & 11^2 \\ 12^2 & 13^2 & -14^2 \\ -15^2 & 16^2 & 17^2\end{array}\right]\), then the value of A'BA is: