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Solution
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
Let A={θ(0,2π):
1+2isinθ
1isinθ
.
is purely imaginary }. Then the sum of the elements in A is.
[8-Apr-2023 shift 2]
Let A={θ(0,2π):
1+2isinθ
1isinθ
.
is purely imaginary }. Then the sum of the elements in A is.
[8-Apr-2023 shift 2]
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
Let P be the plane passing through the line
x1
1
=
y2
3
=
z+5
7
and the point (2,4,3). If the image of the point (1,3,4) in the plane P is (α,β,γ) then α+β+γ is equal to
[8-Apr-2023 shift 2]
Let P be the plane passing through the line
x1
1
=
y2
3
=
z+5
7
and the point (2,4,3). If the image of the point (1,3,4) in the plane P is (α,β,γ) then α+β+γ is equal to
[8-Apr-2023 shift 2]
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
If A=[
15
λ10
]
,A1=αA+βI
and α+β=2, then 4α2+β2+λ2 is equal to :
[8-Apr-2023 shift 2]
If A=[
15
λ10
]
,A1=αA+βI
and α+β=2, then 4α2+β2+λ2 is equal to :
[8-Apr-2023 shift 2]
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
The area of the quadrilateral ABCD with vertices A(2,1,1),B(1,2,5),C(2,3,5) and D(1,6,7) is equal to
[8-Apr-2023 shift 2]
The area of the quadrilateral ABCD with vertices A(2,1,1),B(1,2,5),C(2,3,5) and D(1,6,7) is equal to
[8-Apr-2023 shift 2]
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
25190191908190+2190 is divisible by
[8-Apr-2023 shift 2]
25190191908190+2190 is divisible by
[8-Apr-2023 shift 2]
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
Let O be the origin and OP and OQ be the tangents to the circle x2+y26x+4y+8=0 at the points P and Q on it. If the circumcircle of the triangle OPQ passes through the point (α,
1
2
)
, then a value of α is.
[8-Apr-2023 shift 2]
Let O be the origin and OP and OQ be the tangents to the circle x2+y26x+4y+8=0 at the points P and Q on it. If the circumcircle of the triangle OPQ passes through the point (α,
1
2
)
, then a value of α is.
[8-Apr-2023 shift 2]
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
Let an be the nth term of the series 5+8+14+23+35+50+.... and Sn=
n
k=1
aK
. Then S30a40 is equal to
[8-Apr-2023 shift 2]
Let an be the nth term of the series 5+8+14+23+35+50+.... and Sn=
n
k=1
aK
. Then S30a40 is equal to
[8-Apr-2023 shift 2]
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
If α>β>0 are the roots of the equation ax2+bx+1=0, and
lim
x
1
α
(
1cos(x2+bx+a)
2(1ax)2
)
1
2
=
1
k
(
1
β
1
α
)
, then k is equal to
[8-Apr-2023 shift 2]
If α>β>0 are the roots of the equation ax2+bx+1=0, and
lim
x
1
α
(
1cos(x2+bx+a)
2(1ax)2
)
1
2
=
1
k
(
1
β
1
α
)
, then k is equal to
[8-Apr-2023 shift 2]
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
If the number of words, with or without meaning, which can be made using all the letters of the word MATHEMATICS in which C and S do not come together, is (6!)k, is equal to
[8-Apr-2023 shift 2]
If the number of words, with or without meaning, which can be made using all the letters of the word MATHEMATICS in which C and S do not come together, is (6!)k, is equal to
[8-Apr-2023 shift 2]
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
Let S be the set of all values of θ[π,π] for which the system of linear equations
x+y+3z=0
x+(tanθ)y+7z=0
x+y+(tanθ)z=0
has non-trivial solution. Then
120
π
θS
θ
is equal to
[8-Apr-2023 shift 2]
Let S be the set of all values of θ[π,π] for which the system of linear equations
x+y+3z=0
x+(tanθ)y+7z=0
x+y+(tanθ)z=0
has non-trivial solution. Then
120
π
θS
θ
is equal to
[8-Apr-2023 shift 2]
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
For a,bZ and |ab|10, let the angle between the plane P:ax+yz=b and the line 1:x1=ay=z +1 be cos1(
1
3
)
. If the distance of the point (6,6,4) from the plane P is 36, then a4+b2 is equal to
[8-Apr-2023 shift 2]
For a,bZ and |ab|10, let the angle between the plane P:ax+yz=b and the line 1:x1=ay=z +1 be cos1(
1
3
)
. If the distance of the point (6,6,4) from the plane P is 36, then a4+b2 is equal to
[8-Apr-2023 shift 2]
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
Let the vectors
u
1
=
^
i
+
^
j
+a
^
k
,
µ
2
=
^
i
+b
^
j
+
^
k
and
u
3
=c
^
i
+
^
j
+
^
k
be coplanar. If the vectors
v
1
=(a+b)
^
i
+cj
+ck
,
v
2
=a
^
i
+(b+c)
^
j
+ak
^
k
and
v
3
=b
^
i
+b
^
j
+(c+a)
^
k
are also coplanar, then 6(a+b+c) is equal to
[8-Apr-2023 shift 2]
Let the vectors
u
1
=
^
i
+
^
j
+a
^
k
,
µ
2
=
^
i
+b
^
j
+
^
k
and
u
3
=c
^
i
+
^
j
+
^
k
be coplanar. If the vectors
v
1
=(a+b)
^
i
+cj
+ck
,
v
2
=a
^
i
+(b+c)
^
j
+ak
^
k
and
v
3
=b
^
i
+b
^
j
+(c+a)
^
k
are also coplanar, then 6(a+b+c) is equal to
[8-Apr-2023 shift 2]
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
The absolute difference of the coefficients of x10 and x7 in the expansion of (2x2+
1
2x
)
11
is equal to
[8-Apr-2023 shift 2]
The absolute difference of the coefficients of x10 and x7 in the expansion of (2x2+
1
2x
)
11
is equal to
[8-Apr-2023 shift 2]
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
Let A={1,2,3,4,5,6,7}. Then the relation R={(x,y)A×A:x+y=7} is
[8-Apr-2023 shift 2]
Let A={1,2,3,4,5,6,7}. Then the relation R={(x,y)A×A:x+y=7} is
[8-Apr-2023 shift 2]
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
If the probability that the random variable X takes values x is given by P(X=x)=k(x+1)3x,x=0,1,2,3,..., where k is a constant, then P(X2) is equal to
[8-Apr-2023 shift 2]
If the probability that the random variable X takes values x is given by P(X=x)=k(x+1)3x,x=0,1,2,3,..., where k is a constant, then P(X2) is equal to
[8-Apr-2023 shift 2]
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
The integral ((
x
2
)
x
+(
2
x
)
x
)
log2
x
dx
is equal to
[8-Apr-2023 shift 2]
The integral ((
x
2
)
x
+(
2
x
)
x
)
log2
x
dx
is equal to
[8-Apr-2023 shift 2]
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
The value of 36(4cos291)(4cos2271)(4cos2811)(4cos22431) is
[8-Apr-2023 shift 2]
The value of 36(4cos291)(4cos2271)(4cos2811)(4cos22431) is
[8-Apr-2023 shift 2]
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
Let A(0,1),B(1,1) and C(1,0) be the mid-points of the sides of a triangle with incentre at the point D. If the focus of the parabola y2=4ax passing through D is (α+β3,0), where α and β are rational numbers, then
α
β2
is equal to
[8-Apr-2023 shift 2]
Let A(0,1),B(1,1) and C(1,0) be the mid-points of the sides of a triangle with incentre at the point D. If the focus of the parabola y2=4ax passing through D is (α+β3,0), where α and β are rational numbers, then
α
β2
is equal to
[8-Apr-2023 shift 2]
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
The negation of (p(q))(p) is equivalent to
[8-Apr-2023 shift 2]
The negation of (p(q))(p) is equivalent to
[8-Apr-2023 shift 2]
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
Let the mean and variance of 12 observations be
9
2
and 4 respectively. Later on, it was observed that two observations were considered as 9 and 10 instead of 7 and 14 respectively. If the correct variance is
m
n
, where m and n are coprime, then m+n is equal to
[8-Apr-2023 shift 2]
Let the mean and variance of 12 observations be
9
2
and 4 respectively. Later on, it was observed that two observations were considered as 9 and 10 instead of 7 and 14 respectively. If the correct variance is
m
n
, where m and n are coprime, then m+n is equal to
[8-Apr-2023 shift 2]
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
Let R={a,b,c,d,e} and S={1,2,3,4}. Total number of onto functions f:RS such that f(a)1, is equal to _______.
[8-Apr-2023 shift 2]
Let R={a,b,c,d,e} and S={1,2,3,4}. Total number of onto functions f:RS such that f(a)1, is equal to _______.
[8-Apr-2023 shift 2]
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
Let m and n be the numbers of real roots of the quadratic equations x212x+[x]+31=0 and x25|x+2|4 =0 respectively, where [x] denotes the greatest integer leqx. Then m2+mn+n2 is equal to
[8-Apr-2023 shift 2]
Let m and n be the numbers of real roots of the quadratic equations x212x+[x]+31=0 and x25|x+2|4 =0 respectively, where [x] denotes the greatest integer leqx. Then m2+mn+n2 is equal to
[8-Apr-2023 shift 2]
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
Let P1 be the plane 3xy7z=11 and P2 be the plane passing through the points (2,1,0),(2,0,1), and (5,1, 1). If the foot of the perpendicular drawn from the point (7,4,1) on the line of intersection of the planes P1 and P2 is (α,β,γ), then α+β+γ is equal to _______.
[8-Apr-2023 shift 2]
Let P1 be the plane 3xy7z=11 and P2 be the plane passing through the points (2,1,0),(2,0,1), and (5,1, 1). If the foot of the perpendicular drawn from the point (7,4,1) on the line of intersection of the planes P1 and P2 is (α,β,γ), then α+β+γ is equal to _______.
[8-Apr-2023 shift 2]
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
If domain of the function loge(
6x2+5x+1
2x1
)
+cos1(
2x23x+4
3x5
)
is (α,β)(γ,δ], then, 18(α2+β2+γ2+δ2) is equal to
[8-Apr-2023 shift 2]
If domain of the function loge(
6x2+5x+1
2x1
)
+cos1(
2x23x+4
3x5
)
is (α,β)(γ,δ], then, 18(α2+β2+γ2+δ2) is equal to
[8-Apr-2023 shift 2]
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
Let the area enclosed by the lines x+y=2,y=0x=0 and the curve f(x)=min{x2+
3
4
,1+[x]
}
where [x] denotes the greatest integer x, be A. Then the value of 12A is _______.
[8-Apr-2023 shift 2]
Let the area enclosed by the lines x+y=2,y=0x=0 and the curve f(x)=min{x2+
3
4
,1+[x]
}
where [x] denotes the greatest integer x, be A. Then the value of 12A is _______.
[8-Apr-2023 shift 2]
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
Let 0<z<y<x be three real numbers such that
1
x
,
1
y
,
1
z
are in an arithmetic progression and x,2y,z are in a geometric progression. If xy+yz+zx=
3
2
x
y
z
, then 3(x+y+z)2 is equal to _______.
[8-Apr-2023 shift 2]
Let 0<z<y<x be three real numbers such that
1
x
,
1
y
,
1
z
are in an arithmetic progression and x,2y,z are in a geometric progression. If xy+yz+zx=
3
2
x
y
z
, then 3(x+y+z)2 is equal to _______.
[8-Apr-2023 shift 2]
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
Let the solution curve x=x(y),0<y<
π
2
, of the differential equation (loge(cosy))2cosydx(1+3xloge. (cos y))sinydy=0 satisfy x(
π
3
)
=
1
2logc2
. If x(
π
6
)
=
1
logemlogcn
, where m and n are co-prime, then mn is equal to
[8-Apr-2023 shift 2]
Let the solution curve x=x(y),0<y<
π
2
, of the differential equation (loge(cosy))2cosydx(1+3xloge. (cos y))sinydy=0 satisfy x(
π
3
)
=
1
2logc2
. If x(
π
6
)
=
1
logemlogcn
, where m and n are co-prime, then mn is equal to
[8-Apr-2023 shift 2]
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
Let [t] denote the greatest integer function. If
2.4
0
[x2]dx
=α+β2+γ3+δ5
, then α+β+γ+δ is equal to _______.
[8-Apr-2023 shift 2]
Let [t] denote the greatest integer function. If
2.4
0
[x2]dx
=α+β2+γ3+δ5
, then α+β+γ+δ is equal to _______.
[8-Apr-2023 shift 2]
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
The ordinates of the points P and Q on the parabola with focus (3.0) and directrix x=3 are in the ratio 3:1:. If R(α,β) is the point of intersection of the tangents to the parabola at P and Q, then
β2
α
is equal to ________.
[8-Apr-2023 shift 2]
The ordinates of the points P and Q on the parabola with focus (3.0) and directrix x=3 are in the ratio 3:1:. If R(α,β) is the point of intersection of the tangents to the parabola at P and Q, then
β2
α
is equal to ________.
[8-Apr-2023 shift 2]
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
Let k and m be positive real numbers such that the function f(x)={
3x2+kx+10<x<1
mx2+k2x1
}
is differentiable for all x>0. Then
8f(8)
f(
1
8
)
is equal to ________.
[8-Apr-2023 shift 2]
Let k and m be positive real numbers such that the function f(x)={
3x2+kx+10<x<1
mx2+k2x1
}
is differentiable for all x>0. Then
8f(8)
f(
1
8
)
is equal to ________.
[8-Apr-2023 shift 2]
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
A hydraulic automobile lift is designed to lift vehicles of mass 5000kg. The area of cross section of the cylinder carrying the load is 250cm2. The maximum pressure the smaller piston would have to bear is [Assume g=10m s2 ] :
[8-Apr-2023 shift 2]
A hydraulic automobile lift is designed to lift vehicles of mass 5000kg. The area of cross section of the cylinder carrying the load is 250cm2. The maximum pressure the smaller piston would have to bear is [Assume g=10m s2 ] :
[8-Apr-2023 shift 2]
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
The orbital angular momentum of a satellite is L, when it is revolving in a circular orbit at height h from earth surface. If the distance of satellite from the earth center is increased by eight times to its initial value, then the new angular momentum will be-
[8-Apr-2023 shift 2]
The orbital angular momentum of a satellite is L, when it is revolving in a circular orbit at height h from earth surface. If the distance of satellite from the earth center is increased by eight times to its initial value, then the new angular momentum will be-
[8-Apr-2023 shift 2]
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
The waves emitted when a metal target is bombarded withhigh energy eléctrons are
[8-Apr-2023 shift 2]
The waves emitted when a metal target is bombarded withhigh energy eléctrons are
[8-Apr-2023 shift 2]
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
Match List I with List II

Choose the correct answer from the options given below:
[8-Apr-2023 shift 2]
Match List I with List II

Choose the correct answer from the options given below:
[8-Apr-2023 shift 2]
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
Give below are two statements
Statement I : Area under velocity- time graph gives the distance travelled by the body in a given time.
Statement II : Area under acceleration- time graph is equal to the change in velocity- in the given time.
In the light of given statement, choose the correct answer from the options given below.
[8-Apr-2023 shift 2]
Give below are two statements
Statement I : Area under velocity- time graph gives the distance travelled by the body in a given time.
Statement II : Area under acceleration- time graph is equal to the change in velocity- in the given time.
In the light of given statement, choose the correct answer from the options given below.
[8-Apr-2023 shift 2]
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
The power radiated from a linear antenna of length l is proportional to (Given, λ= Wavelength of wave):
[8-Apr-2023 shift 2]
The power radiated from a linear antenna of length l is proportional to (Given, λ= Wavelength of wave):
[8-Apr-2023 shift 2]
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
Electric potential at a point ' P ' due to a point charge of 5×109C is 50V. The distance of ' P ' from the point charge is:
(Assume,
1
4πε0
=9×10+9Nm2C2
)
[8-Apr-2023 shift 2]
Electric potential at a point ' P ' due to a point charge of 5×109C is 50V. The distance of ' P ' from the point charge is:
(Assume,
1
4πε0
=9×10+9Nm2C2
)
[8-Apr-2023 shift 2]
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
The acceleration due to gravity at height h above the earth if h<<R (Radius of earth) is given by
[8-Apr-2023 shift 2]
The acceleration due to gravity at height h above the earth if h<<R (Radius of earth) is given by
[8-Apr-2023 shift 2]
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
An emf of 0.08V is induced in a metal rod of length 10cm held normal to a uniform magnetic field of 0.4T, when moves with a velocity of:
[8-Apr-2023 shift 2]
An emf of 0.08V is induced in a metal rod of length 10cm held normal to a uniform magnetic field of 0.4T, when moves with a velocity of:
[8-Apr-2023 shift 2]
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
Work done by a Carnot engine operating between temperatures 127C and 27C is 2kJ. The amount of heat transferred to the engine by the reservoir is:
[8-Apr-2023 shift 2]
Work done by a Carnot engine operating between temperatures 127C and 27C is 2kJ. The amount of heat transferred to the engine by the reservoir is:
[8-Apr-2023 shift 2]
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
The width of fringe is 2mm on the screen in a double slits experiment for the light of wavelength of 400nm. The width of the fringe for the light of wavelength 600nm will be:
[8-Apr-2023 shift 2]
The width of fringe is 2mm on the screen in a double slits experiment for the light of wavelength of 400nm. The width of the fringe for the light of wavelength 600nm will be:
[8-Apr-2023 shift 2]
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
The temperature at which the kinetic energy of oxygen molecules becomes double than its value at 27C is
[8-Apr-2023 shift 2]
The temperature at which the kinetic energy of oxygen molecules becomes double than its value at 27C is
[8-Apr-2023 shift 2]
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : Electromagnets are made of soft iron.
Reason R : Soft iron has high permeability and low retentivity.
In the light of above, statements, chose the most appropriate answer from the options given below.
[8-Apr-2023 shift 2]
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : Electromagnets are made of soft iron.
Reason R : Soft iron has high permeability and low retentivity.
In the light of above, statements, chose the most appropriate answer from the options given below.
[8-Apr-2023 shift 2]
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
The trajectory of projectile, projected from the ground is given by y=x
x2
20
. Where x and y are measured in meter. The maximum height attained by the projectile will be.
[8-Apr-2023 shift 2]
The trajectory of projectile, projected from the ground is given by y=x
x2
20
. Where x and y are measured in meter. The maximum height attained by the projectile will be.
[8-Apr-2023 shift 2]
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
A bullet of mass 0.1kg moving horizontally with speed 400ms1 hits a wooden block of mass 3.9kg kept on a horizontal rough surface. The bullet gets embedded into the block and moves 20m before coming to rest. The coefficient of friction between the block and the surface is (. Given g=10m s2)
[8-Apr-2023 shift 2]
A bullet of mass 0.1kg moving horizontally with speed 400ms1 hits a wooden block of mass 3.9kg kept on a horizontal rough surface. The bullet gets embedded into the block and moves 20m before coming to rest. The coefficient of friction between the block and the surface is (. Given g=10m s2)
[8-Apr-2023 shift 2]
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
For a given transistor amplifier circuit in CE configuration VCC=1V,RC=1k,Rb=100k and β=100. Value of base current Ib is

[8-Apr-2023 shift 2]
For a given transistor amplifier circuit in CE configuration VCC=1V,RC=1k,Rb=100k and β=100. Value of base current Ib is

[8-Apr-2023 shift 2]
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
For particle P revolving round the centre O with radius of circular path r and angular velocity ω, as shown in below figure, the projection of OP on the x-axis at time t is

[8-Apr-2023 shift 2]
For particle P revolving round the centre O with radius of circular path r and angular velocity ω, as shown in below figure, the projection of OP on the x-axis at time t is

[8-Apr-2023 shift 2]
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
A radio active material is reduced to 18 of its original amount in 3 days. If 8×103kg of the material is left after 5 days the initial amount of the material is
[8-Apr-2023 shift 2]
A radio active material is reduced to 18 of its original amount in 3 days. If 8×103kg of the material is left after 5 days the initial amount of the material is
[8-Apr-2023 shift 2]
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
The equivalent resistance between A and B as shown in figure is:

[8-Apr-2023 shift 2]
The equivalent resistance between A and B as shown in figure is:

[8-Apr-2023 shift 2]
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
In photoelectric effect
A. The photocurrent is proportional to the intensity of the incident radiation.
B. Maximum Kinetic energy with which photoelectrons are emitted depends on the intensity of incident light.
C. Max K.E with which photoelectrons are emitted depends on the frequency of incident light.
D. The emission of photoelectrons require a minimum threshold intensity of incident radiation.
E. Max. K.E of the photoelectrons is independent of the frequency of the incident light.
Choose the correct answer from the options given below:
[8-Apr-2023 shift 2]
In photoelectric effect
A. The photocurrent is proportional to the intensity of the incident radiation.
B. Maximum Kinetic energy with which photoelectrons are emitted depends on the intensity of incident light.
C. Max K.E with which photoelectrons are emitted depends on the frequency of incident light.
D. The emission of photoelectrons require a minimum threshold intensity of incident radiation.
E. Max. K.E of the photoelectrons is independent of the frequency of the incident light.
Choose the correct answer from the options given below:
[8-Apr-2023 shift 2]
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
A 600pF capacitor is charged by 200V supply. It is then disconnected from the supply and is connected to another uncharged 600pF capacitor. Electrostatic energy lost in the process is _______ µJ
[8-Apr-2023 shift 2]
A 600pF capacitor is charged by 200V supply. It is then disconnected from the supply and is connected to another uncharged 600pF capacitor. Electrostatic energy lost in the process is _______ µJ
[8-Apr-2023 shift 2]
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
A series combination of resistor of resistance 100, inductor of inductance 1H and capacitor of capacitance 6.25µF is connected to an ac source. The quality factor of the circuit will be _______.
[8-Apr-2023 shift 2]
A series combination of resistor of resistance 100, inductor of inductance 1H and capacitor of capacitance 6.25µF is connected to an ac source. The quality factor of the circuit will be _______.
[8-Apr-2023 shift 2]
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
The number density of free electrons in copper is nearly 8×1028m3. A copper wire has its area of cross section =2×106m2 and is carrying a current of 3.2A. The drift speed of the electrons is ________ ×106ms1
[8-Apr-2023 shift 2]
The number density of free electrons in copper is nearly 8×1028m3. A copper wire has its area of cross section =2×106m2 and is carrying a current of 3.2A. The drift speed of the electrons is ________ ×106ms1
[8-Apr-2023 shift 2]
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
A hollow spherical ball of uniform density rolls up a curved surface with an initial velocity 3m s (as shown in figure). Maximum height with respect to the initial position covered by it will be _______ cm(. take, g=10m s2)

[8-Apr-2023 shift 2]
A hollow spherical ball of uniform density rolls up a curved surface with an initial velocity 3m s (as shown in figure). Maximum height with respect to the initial position covered by it will be _______ cm(. take, g=10m s2)

[8-Apr-2023 shift 2]
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
A steel rod of length 1m and cross sectional area 104m2 is heated from 0C to 200C without being allowed to extend or bend. The compressive tension produced in the rod is ________ of steel =2×1011Nm2, coefficient of linear expansion =105K1 ) ×104N. (Given Young's modulus
[8-Apr-2023 shift 2]
A steel rod of length 1m and cross sectional area 104m2 is heated from 0C to 200C without being allowed to extend or bend. The compressive tension produced in the rod is ________ of steel =2×1011Nm2, coefficient of linear expansion =105K1 ) ×104N. (Given Young's modulus
[8-Apr-2023 shift 2]
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
The ratio of magnetic field at the centre of a current carrying coil of radius r to the magnetic field at distance r from the centre of coil on its axis is x:1. The value of x is _______.
[8-Apr-2023 shift 2]
The ratio of magnetic field at the centre of a current carrying coil of radius r to the magnetic field at distance r from the centre of coil on its axis is x:1. The value of x is _______.
[8-Apr-2023 shift 2]
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
The ratio of wavelength of spectral lines Hα and Hβ in the Balmer series is
x
20
. The value of x is
[8-Apr-2023 shift 2]
The ratio of wavelength of spectral lines Hα and Hβ in the Balmer series is
x
20
. The value of x is
[8-Apr-2023 shift 2]
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
Two transparent media having refractive indices 1.0 and 1.5 are separated by a spherical refracting surface of radius of curvature 30cm. The centre of curvature of surface is towards denser medium and a point object is placed on the principle axis in rarer medium at a distance of 15cm from the pole of the surface. The distance of image from the pole of the surface is ______ cm.
[8-Apr-2023 shift 2]
Two transparent media having refractive indices 1.0 and 1.5 are separated by a spherical refracting surface of radius of curvature 30cm. The centre of curvature of surface is towards denser medium and a point object is placed on the principle axis in rarer medium at a distance of 15cm from the pole of the surface. The distance of image from the pole of the surface is ______ cm.
[8-Apr-2023 shift 2]
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
A guitar string of length 90cm vibrates with a fundamental frequency of 120Hz. The length of the string producing a fundamental frequency of 180Hz will be ________ cm.
[8-Apr-2023 shift 2]
A guitar string of length 90cm vibrates with a fundamental frequency of 120Hz. The length of the string producing a fundamental frequency of 180Hz will be ________ cm.
[8-Apr-2023 shift 2]
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
A body of mass 5kg is moving with a momentum of 10kgms1. Now a force of 2N acts on the body in the direction of its motion for 5 s. The increase in the Kinetic energy of the body is _______ J.
[8-Apr-2023 shift 2]
A body of mass 5kg is moving with a momentum of 10kgms1. Now a force of 2N acts on the body in the direction of its motion for 5 s. The increase in the Kinetic energy of the body is _______ J.
[8-Apr-2023 shift 2]
Q.1 Correct
Q.1 In-correct
Q.1 Unattempt
The statement/s which are true about antagonists from the following is/are :
A. They bind to the receptor site
B. Get transferred inside the cell for their action
C. Inhibit the natural communication of the body
D. Mimic the natural messenger.
Choose the correct answer from the options given below:
[8-Apr-2023 shift 2]
The statement/s which are true about antagonists from the following is/are :
A. They bind to the receptor site
B. Get transferred inside the cell for their action
C. Inhibit the natural communication of the body
D. Mimic the natural messenger.
Choose the correct answer from the options given below:
[8-Apr-2023 shift 2]
Q.2 Correct
Q.2 In-correct
Q.2 Unattempt
The correct reaction profile diagram for a positive catalyst reaction.
[8-Apr-2023 shift 2]
The correct reaction profile diagram for a positive catalyst reaction.
[8-Apr-2023 shift 2]
Q.3 Correct
Q.3 In-correct
Q.3 Unattempt
Given below are two statements : One is labelled as Assertion A and other is labelled as Reason R
Assertion A : Sodium is about 30 times as abundant as potassium in the oceans.
Reason R : Potassium is bigger in size than sodium.
In the light of the above statements, choose the correct answer from the options given below
[8-Apr-2023 shift 2]
Given below are two statements : One is labelled as Assertion A and other is labelled as Reason R
Assertion A : Sodium is about 30 times as abundant as potassium in the oceans.
Reason R : Potassium is bigger in size than sodium.
In the light of the above statements, choose the correct answer from the options given below
[8-Apr-2023 shift 2]
Q.4 Correct
Q.4 In-correct
Q.4 Unattempt
Which of these reactions is not a part of breakdown of ozone in stratosphere?
[8-Apr-2023 shift 2]
Which of these reactions is not a part of breakdown of ozone in stratosphere?
[8-Apr-2023 shift 2]
Q.5 Correct
Q.5 In-correct
Q.5 Unattempt
The correct IUPAC nomenclature for the following compound is :

[8-Apr-2023 shift 2]
The correct IUPAC nomenclature for the following compound is :

[8-Apr-2023 shift 2]
Q.6 Correct
Q.6 In-correct
Q.6 Unattempt
Henry Moseley studied characteristic X-ray spectra of elements. The graph which represents his observation correctly is
Given v= frequency of X-ray emitted
Z= atomic number
[8-Apr-2023 shift 2]
Henry Moseley studied characteristic X-ray spectra of elements. The graph which represents his observation correctly is
Given v= frequency of X-ray emitted
Z= atomic number
[8-Apr-2023 shift 2]
Q.7 Correct
Q.7 In-correct
Q.7 Unattempt
Match list I with list II

Choose the correct answer from the options given below:
[8-Apr-2023 shift 2]
Match list I with list II

Choose the correct answer from the options given below:
[8-Apr-2023 shift 2]
Q.8 Correct
Q.8 In-correct
Q.8 Unattempt
Major product ' P ' formed in the following reaction is :

[8-Apr-2023 shift 2]
Major product ' P ' formed in the following reaction is :

[8-Apr-2023 shift 2]
Q.9 Correct
Q.9 In-correct
Q.9 Unattempt
For a good quality cement, the ratio of lime to the total of the oxides of Si,Al and Fe should be as close as to
[8-Apr-2023 shift 2]
For a good quality cement, the ratio of lime to the total of the oxides of Si,Al and Fe should be as close as to
[8-Apr-2023 shift 2]
Q.10 Correct
Q.10 In-correct
Q.10 Unattempt
Match list I with list II

Choose the correct answer from the options given below:
[8-Apr-2023 shift 2]
Match list I with list II

Choose the correct answer from the options given below:
[8-Apr-2023 shift 2]
Q.11 Correct
Q.11 In-correct
Q.11 Unattempt
Which of the following have same number of significant figures?
A. 0.00253
B. 1. 0003
C. 15.0
D. 163
Choose the correct answer from the options given below
[8-Apr-2023 shift 2]
Which of the following have same number of significant figures?
A. 0.00253
B. 1. 0003
C. 15.0
D. 163
Choose the correct answer from the options given below
[8-Apr-2023 shift 2]
Q.12 Correct
Q.12 In-correct
Q.12 Unattempt
Given below are two statements :
Statement I : Methyl orange is a weak acid.
Statement II : The benzenoid form of methyl orange is more intense/deeply coloured than the quinonoid form.
In the light of the above statement, choose the most appropriate answer from the options given below:
[8-Apr-2023 shift 2]
Given below are two statements :
Statement I : Methyl orange is a weak acid.
Statement II : The benzenoid form of methyl orange is more intense/deeply coloured than the quinonoid form.
In the light of the above statement, choose the most appropriate answer from the options given below:
[8-Apr-2023 shift 2]
Q.13 Correct
Q.13 In-correct
Q.13 Unattempt
The descending order of acidity for the following carboxylic acid is -
A. CH3COOH
B. F3CCOOH
C. ClCH2COOH
D. BrCH2COOH
Choose the correct answer from the options given below:
[8-Apr-2023 shift 2]
The descending order of acidity for the following carboxylic acid is -
A. CH3COOH
B. F3CCOOH
C. ClCH2COOH
D. BrCH2COOH
Choose the correct answer from the options given below:
[8-Apr-2023 shift 2]
Q.14 Correct
Q.14 In-correct
Q.14 Unattempt
In Hall-Heroult process, the following is used for reducing Al2O3 :-
[8-Apr-2023 shift 2]
In Hall-Heroult process, the following is used for reducing Al2O3 :-
[8-Apr-2023 shift 2]
Q.15 Correct
Q.15 In-correct
Q.15 Unattempt
Arrange the following gases in increasing order of van der waals constant ' a '
A. Ar
B. CH4
C. H2O
D. C6H6
Choose the correct options from the following
[8-Apr-2023 shift 2]
Arrange the following gases in increasing order of van der waals constant ' a '
A. Ar
B. CH4
C. H2O
D. C6H6
Choose the correct options from the following
[8-Apr-2023 shift 2]
Q.16 Correct
Q.16 In-correct
Q.16 Unattempt
Given below are two statement :
Statement I : In redox titration, the indicators used are sensitive to change in pH of the solution.
Statement II : In acid-base titration, the indicators used are sensitive to change in oxidation potential.
In the light of the above statement, choose the most appropriate answer from the options given below
[8-Apr-2023 shift 2]
Given below are two statement :
Statement I : In redox titration, the indicators used are sensitive to change in pH of the solution.
Statement II : In acid-base titration, the indicators used are sensitive to change in oxidation potential.
In the light of the above statement, choose the most appropriate answer from the options given below
[8-Apr-2023 shift 2]
Q.17 Correct
Q.17 In-correct
Q.17 Unattempt
Which of the following can reduce decomposition of H2O2 on exposure to light
[8-Apr-2023 shift 2]
Which of the following can reduce decomposition of H2O2 on exposure to light
[8-Apr-2023 shift 2]
Q.18 Correct
Q.18 In-correct
Q.18 Unattempt
The correct order of reactivity of following haloarenes towards nucleophilic substitution with aqueous NaOH is

Choose the correct answer from the options given below:
[8-Apr-2023 shift 2]
The correct order of reactivity of following haloarenes towards nucleophilic substitution with aqueous NaOH is

Choose the correct answer from the options given below:
[8-Apr-2023 shift 2]
Q.19 Correct
Q.19 In-correct
Q.19 Unattempt
A compound ' X ' when treated with phthalic anhydride in presence of concentrated H2SO4 yields ' Y ' ' Y ' is used as an acid/base indicator. ' X ' and ' Y ' are respectively:
[8-Apr-2023 shift 2]
A compound ' X ' when treated with phthalic anhydride in presence of concentrated H2SO4 yields ' Y ' ' Y ' is used as an acid/base indicator. ' X ' and ' Y ' are respectively:
[8-Apr-2023 shift 2]
Q.20 Correct
Q.20 In-correct
Q.20 Unattempt
The product (P) formed from the following multistep reaction is :

[8-Apr-2023 shift 2]
The product (P) formed from the following multistep reaction is :

[8-Apr-2023 shift 2]
Q.21 Correct
Q.21 In-correct
Q.21 Unattempt
The observed magnetic moment of the complex [Mn(xNCS)6]x is 6.06BM. The numerical value of x is _______.
[8-Apr-2023 shift 2]
The observed magnetic moment of the complex [Mn(xNCS)6]x is 6.06BM. The numerical value of x is _______.
[8-Apr-2023 shift 2]
Q.22 Correct
Q.22 In-correct
Q.22 Unattempt
For complete combustion of ethane,
C2H4(g)+3O2(g)2CO2(g)+2H2O(l)
The amount of heat produced as measured in bomb calorimeter is 1406KJmol1 at 300K. The minimum value of TS needed to reach equilibrium is _______ () KJ (Nearest integer)
Given : R=8.3JK1mol1
[8-Apr-2023 shift 2]
For complete combustion of ethane,
C2H4(g)+3O2(g)2CO2(g)+2H2O(l)
The amount of heat produced as measured in bomb calorimeter is 1406KJmol1 at 300K. The minimum value of TS needed to reach equilibrium is _______ () KJ (Nearest integer)
Given : R=8.3JK1mol1
[8-Apr-2023 shift 2]
Q.23 Correct
Q.23 In-correct
Q.23 Unattempt
The solubility product of BaSO4 is _______ 1×1010 at 298K. The solubility of BaSO4 in 0.1MK2SO4 (aq) solut is ×109gL1 (Nearest integer)
Given: Molar mass of BaSO4 is 233gmol1
[8-Apr-2023 shift 2]
The solubility product of BaSO4 is _______ 1×1010 at 298K. The solubility of BaSO4 in 0.1MK2SO4 (aq) solut is ×109gL1 (Nearest integer)
Given: Molar mass of BaSO4 is 233gmol1
[8-Apr-2023 shift 2]
Q.24 Correct
Q.24 In-correct
Q.24 Unattempt
The number of atomic orbitals from the following having 5 radial nodes is _______ 7 s,7p,6 s,8p,8d
[8-Apr-2023 shift 2]
The number of atomic orbitals from the following having 5 radial nodes is _______ 7 s,7p,6 s,8p,8d
[8-Apr-2023 shift 2]
Q.25 Correct
Q.25 In-correct
Q.25 Unattempt
The number of incorrect statement from the following is _______
[8-Apr-2023 shift 2]
The number of incorrect statement from the following is _______
[8-Apr-2023 shift 2]
Q.26 Correct
Q.26 In-correct
Q.26 Unattempt
Coagulating value of the electrolytes AlCl3 and NaCl for As2S3 are 0.09 and 50.04 respectively. The coagulating power of AlCl3 is x times the coagulating power of NaCl. The value of x is _______.
[8-Apr-2023 shift 2]
Coagulating value of the electrolytes AlCl3 and NaCl for As2S3 are 0.09 and 50.04 respectively. The coagulating power of AlCl3 is x times the coagulating power of NaCl. The value of x is _______.
[8-Apr-2023 shift 2]
Q.27 Correct
Q.27 In-correct
Q.27 Unattempt
If the boiling points of two solvents X and Y (having same molecular weights) are in the ratio 2:1 and their enthalpy of vaporizations are in the ratio 1:2, then the boiling point elevation constant of X is m times the boiling point elevation constant of Y. The value of m is _______ (nearest integer)
[8-Apr-2023 shift 2]
If the boiling points of two solvents X and Y (having same molecular weights) are in the ratio 2:1 and their enthalpy of vaporizations are in the ratio 1:2, then the boiling point elevation constant of X is m times the boiling point elevation constant of Y. The value of m is _______ (nearest integer)
[8-Apr-2023 shift 2]
Q.28 Correct
Q.28 In-correct
Q.28 Unattempt
The number of species from the following carrying a single lone pair on central atom Xenon is ________XeF5+,XeO3,XeO2F2,XeF5,XeO3F2,XeOF4,XeF4
[8-Apr-2023 shift 2]
The number of species from the following carrying a single lone pair on central atom Xenon is ________XeF5+,XeO3,XeO2F2,XeF5,XeO3F2,XeOF4,XeF4
[8-Apr-2023 shift 2]
Q.29 Correct
Q.29 In-correct
Q.29 Unattempt
The ratio of sigma and π bonds present in pyrophosphoric acid is _______
[8-Apr-2023 shift 2]
The ratio of sigma and π bonds present in pyrophosphoric acid is _______
[8-Apr-2023 shift 2]
Q.30 Correct
Q.30 In-correct
Q.30 Unattempt
The sum of oxidation state of the metals in Fe(CO)5,VO2+ and WO3 is ______
[8-Apr-2023 shift 2]
The sum of oxidation state of the metals in Fe(CO)5,VO2+ and WO3 is ______
[8-Apr-2023 shift 2]
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