NEET Level Test (10- Contact Number: 9667591930 /
Dec-23) 8527521718
Physics - Section A 5 Three charges are arranged at the three corners of
an equilateral triangle of side a, as shown in the figure.
1 A pair of equal and opposite charges of magnitude
Q are placed a distance d apart. At the mid-point of
these charges, is placed a dipole of dipole moment p.
The maximum possible torque on the dipole is:
2kQ 2kQ
1. p.
(d/2)
2
2. p.
(d/2)
kQ kQ
3. p.
(d/2)
2
4. p. The electric field at the centre of the triangle will vanish
(d/2)
if:
2 The electric field, between the two plates of a 1. q = Q 2. q = −Q
3. q = −2Q 4. q = 0
parallel plate capacitor of capacitance C, charged by
means of a charge Q (d is the separation between the
plates), is given by: 6 Three charges are arranged at the three corners of
(k =
1
)
an equilateral triangle of side a, as shown in the figure.
4πε0
Q
1. 2.
Q
k
2
d Cd
Qd QC
3. 4.
C d
3 Two hemispheres, one of radius R and the other of
radius 2R carry charges +Q and −Q respectively, on The electric field at the centre of the base of the triangle
their surfaces. They are placed so that they share a will vanish if:
common centre O, as shown. The potential at their
1. q = Q 2. q = −Q
common centre is: (k =
1
)
4πε0
3. q = −2Q 4. q = 0
7 Given below are two statements:
The electrostatic field of a charge
distributed uniformly over the surface of
Assertion (A):
a sphere vanishes within the sphere,
only at its centre.
1.
Q
2.
Q This cancellation occurs at the centre
k k
R 2R
due to the symmetry of the sphere and
Reason (R):
3. −k
Q
4. zero the symmetric, uniform charge
2R
distribution.
4 Alternating equal and opposite charges, each of
Both (A) and (R) are true and (R) is the correct
magnitude q are placed at the six vertices of a regular 1.
explanation of (A).
hexagon of side a. If one of the negative charges is now
removed, the electrostatic potential at the centre of the Both (A) and (R) are true but (R) is not the correct
2.
explanation of (A).
hexagon is: (k =
1
)
4πε0
3. (A) is true but (R) is false.
q
1. 2.
2q
k
a
k
a
4. (A) is false but (R) is true.
√3q q
3. k 4. k
2a
2a
Page: 1
, NEET Level Test (10- Contact Number: 9667591930 /
Dec-23) 8527521718
8 Two resistances of 4 Ω and 6 Ω are connected in 12 A non-conducting cylinder of radius R carries a
series and potential difference of 60 V is applied to the total charge Q distributed uniformly over its curved
combination. surface. A point charge q is taken from the centre A, of
Statement I: The voltage across each resistor is 60 V. one of its ends to the centre B of its other end-surface.
The work done is: (k =
1
Statement II: The current through each resistor is 6 A. )
4πε0
1. Statement I is incorrect and Statement II is correct.
2. Both Statement I and Statement II are correct.
3. Both Statement I and Statement II are incorrect.
4. Statement I is correct and Statement II is incorrect.
9 Each of the four identical point charges q, are fixed
at the corners of a square of side a. The work done in qQ qQ
bringing a point charge q, from infinity and placing it at 1. k
H
2. k
R
the centre of the square is: (k =
1
) qQ zero
2
4πε0
2
3. k
√R2 +H 2
4.
1. k.
4q
2. k.
4√2q
a a
13 The electrostatic potential in a certain region is
2
4q
3. k. 4. zero
a√2
given by the following function:
2
V (x, y) = x + xy
10 Two identical uncharged capacitors are connected in The electric field at the point (1, 1) is given by:
series and a charge Q passes from A to B. After this
happens, 1. ^ ^
3i + j 2. ^ ^
−(3 i + j)
3. ^ ^
i + j 4. ^ ^
−( i + j)
14 A parallel plate capacitor is charged by connecting it
1. Left capacitor has charge Q, Right one has no charge. to a battery. It is disconnected. Then, the plates are
2. Both capacitors have charges Q each. moved apart so that their separation is doubled. As a
Left capacitor has charge Q, Right one has charge result:
3. The charge gets doubled, but potential difference
(−Q).
1.
Neither capacitor has any charge, as the charge has remains same.
4. The potential difference gets doubled, but charge
passed from A to B and left them. 2.
remains unchanged.
11 The equivalent resistance between A and B is: 3.
The potential difference gets halved, but charge
remains unchanged.
The charge gets halved, but the potential difference
4.
remains unchanged.
15 A non-conducting circular ring is charged so that its
upper half carries a charge q, while the lower half carries
a charge 2q. The potential at the centre of the ring
(radius R) is: (k =
1
)
4πε0
1. 20 Ω 2. 4.8 Ω
3q 3q
3. 10 Ω 4. 5 Ω
1. k.
R
2. k.
2R
q q
3. k.
2R
4. k.
R
Page: 2
, NEET Level Test (10- Contact Number: 9667591930 /
Dec-23) 8527521718
16 Given below are two statements: 20 If a capacitor of capacitance C be charged by giving
The plates of a parallel-plate capacitor it a charge Q, the potential difference between its plates
Assertion (A): is observed to be V . The energy stored in the capacitor
attract each other when it is charged.
The plates carry opposite charges and is:
Reason (R):
hence they attract by Coulomb's law. 1. QV 2.
Q
V
3.
QV
4.
Q
Both (A) and (R) are true and (R) is the correct 2 2V
1.
explanation of (A).
Both (A) and (R) are true but (R) is not the correct 21 A particle of charge q, mass m falls under gravity
2.
explanation of (A). starting from rest. It falls through a height H , while
3. (A) is true but (R) is false. being acted upon by an electric field, in addition to
4. (A) is false but (R) is true. gravity. At the end of its motion, it briefly comes to rest.
The potential difference between the two extreme points
of its motion is:
17 Two identical balls of cork (C , C ) are charged 1 2
mgH 2mgH
oppositely with equal amounts of charge distributed 1. 2. q q
uniformly over their respective surfaces. Two similar (of mgH
3. 4. zero
same size) balls of copper(M , M ) are charged in the 1 2
2q
same way as the previous two balls. C , C are allowed 1 2
to touch each other briefly and are separated, and the 22 A point charge q is placed on the x-axis at x = a;
same is done with M , M . The electrostatic force an identical charge is placed on the y-axis at y = a. At
1 2
between C , C is F and that between M , M is F
1 2 C the origin is placed a charge (−2q). The dipole moment
1 2 M
at the same separation. Then: of the charge distribution is:
1. F C= 0, F ≠ 0M 1. 2qa 2. √2qa
2. F ≠ 0, F = 0M qa qa
C
3. 4.
3. F C
= 0, F = 0M
2 √2
4. F ≠ 0, F ≠ 0
23 The capacitance of a sphere of radius a, surface
C M
18 The electrostatic potential in a region of space is area A is:
1.
4πε0 A
2.
2πε0 A
given by the function: a a
where A, a are constants.
2πx
ε0 A
V (x) = A cos ( ),
3.
ε0 A
a 4.
The potential at x = a
2
is: a 2πa
1. zero 2. A
24 Two uniformly charged spheres of radii R, carrying
3. 4.
A
−A
2
charges Q1 and Q are placed with their centres a
2
distance r, apart. The force between the spheres is:
19 The electrostatic potential in a region of space is (r ≫ R)
given by the function:
where A, a are constants.
2πx
V (x) = A cos ( ),
a
The electrostatic field at x = is: a
4
1. zero 2. 2πA
a
3. −
2πA
a
4. infinity
Q1 Q2 Q1 Q2
1. k
2
2. k
2
(r −R )
2
r
Q1 Q2 Q1 Q2
3. k
2
r +R
2
4. k
(r+R)
2
Page: 3
Dec-23) 8527521718
Physics - Section A 5 Three charges are arranged at the three corners of
an equilateral triangle of side a, as shown in the figure.
1 A pair of equal and opposite charges of magnitude
Q are placed a distance d apart. At the mid-point of
these charges, is placed a dipole of dipole moment p.
The maximum possible torque on the dipole is:
2kQ 2kQ
1. p.
(d/2)
2
2. p.
(d/2)
kQ kQ
3. p.
(d/2)
2
4. p. The electric field at the centre of the triangle will vanish
(d/2)
if:
2 The electric field, between the two plates of a 1. q = Q 2. q = −Q
3. q = −2Q 4. q = 0
parallel plate capacitor of capacitance C, charged by
means of a charge Q (d is the separation between the
plates), is given by: 6 Three charges are arranged at the three corners of
(k =
1
)
an equilateral triangle of side a, as shown in the figure.
4πε0
Q
1. 2.
Q
k
2
d Cd
Qd QC
3. 4.
C d
3 Two hemispheres, one of radius R and the other of
radius 2R carry charges +Q and −Q respectively, on The electric field at the centre of the base of the triangle
their surfaces. They are placed so that they share a will vanish if:
common centre O, as shown. The potential at their
1. q = Q 2. q = −Q
common centre is: (k =
1
)
4πε0
3. q = −2Q 4. q = 0
7 Given below are two statements:
The electrostatic field of a charge
distributed uniformly over the surface of
Assertion (A):
a sphere vanishes within the sphere,
only at its centre.
1.
Q
2.
Q This cancellation occurs at the centre
k k
R 2R
due to the symmetry of the sphere and
Reason (R):
3. −k
Q
4. zero the symmetric, uniform charge
2R
distribution.
4 Alternating equal and opposite charges, each of
Both (A) and (R) are true and (R) is the correct
magnitude q are placed at the six vertices of a regular 1.
explanation of (A).
hexagon of side a. If one of the negative charges is now
removed, the electrostatic potential at the centre of the Both (A) and (R) are true but (R) is not the correct
2.
explanation of (A).
hexagon is: (k =
1
)
4πε0
3. (A) is true but (R) is false.
q
1. 2.
2q
k
a
k
a
4. (A) is false but (R) is true.
√3q q
3. k 4. k
2a
2a
Page: 1
, NEET Level Test (10- Contact Number: 9667591930 /
Dec-23) 8527521718
8 Two resistances of 4 Ω and 6 Ω are connected in 12 A non-conducting cylinder of radius R carries a
series and potential difference of 60 V is applied to the total charge Q distributed uniformly over its curved
combination. surface. A point charge q is taken from the centre A, of
Statement I: The voltage across each resistor is 60 V. one of its ends to the centre B of its other end-surface.
The work done is: (k =
1
Statement II: The current through each resistor is 6 A. )
4πε0
1. Statement I is incorrect and Statement II is correct.
2. Both Statement I and Statement II are correct.
3. Both Statement I and Statement II are incorrect.
4. Statement I is correct and Statement II is incorrect.
9 Each of the four identical point charges q, are fixed
at the corners of a square of side a. The work done in qQ qQ
bringing a point charge q, from infinity and placing it at 1. k
H
2. k
R
the centre of the square is: (k =
1
) qQ zero
2
4πε0
2
3. k
√R2 +H 2
4.
1. k.
4q
2. k.
4√2q
a a
13 The electrostatic potential in a certain region is
2
4q
3. k. 4. zero
a√2
given by the following function:
2
V (x, y) = x + xy
10 Two identical uncharged capacitors are connected in The electric field at the point (1, 1) is given by:
series and a charge Q passes from A to B. After this
happens, 1. ^ ^
3i + j 2. ^ ^
−(3 i + j)
3. ^ ^
i + j 4. ^ ^
−( i + j)
14 A parallel plate capacitor is charged by connecting it
1. Left capacitor has charge Q, Right one has no charge. to a battery. It is disconnected. Then, the plates are
2. Both capacitors have charges Q each. moved apart so that their separation is doubled. As a
Left capacitor has charge Q, Right one has charge result:
3. The charge gets doubled, but potential difference
(−Q).
1.
Neither capacitor has any charge, as the charge has remains same.
4. The potential difference gets doubled, but charge
passed from A to B and left them. 2.
remains unchanged.
11 The equivalent resistance between A and B is: 3.
The potential difference gets halved, but charge
remains unchanged.
The charge gets halved, but the potential difference
4.
remains unchanged.
15 A non-conducting circular ring is charged so that its
upper half carries a charge q, while the lower half carries
a charge 2q. The potential at the centre of the ring
(radius R) is: (k =
1
)
4πε0
1. 20 Ω 2. 4.8 Ω
3q 3q
3. 10 Ω 4. 5 Ω
1. k.
R
2. k.
2R
q q
3. k.
2R
4. k.
R
Page: 2
, NEET Level Test (10- Contact Number: 9667591930 /
Dec-23) 8527521718
16 Given below are two statements: 20 If a capacitor of capacitance C be charged by giving
The plates of a parallel-plate capacitor it a charge Q, the potential difference between its plates
Assertion (A): is observed to be V . The energy stored in the capacitor
attract each other when it is charged.
The plates carry opposite charges and is:
Reason (R):
hence they attract by Coulomb's law. 1. QV 2.
Q
V
3.
QV
4.
Q
Both (A) and (R) are true and (R) is the correct 2 2V
1.
explanation of (A).
Both (A) and (R) are true but (R) is not the correct 21 A particle of charge q, mass m falls under gravity
2.
explanation of (A). starting from rest. It falls through a height H , while
3. (A) is true but (R) is false. being acted upon by an electric field, in addition to
4. (A) is false but (R) is true. gravity. At the end of its motion, it briefly comes to rest.
The potential difference between the two extreme points
of its motion is:
17 Two identical balls of cork (C , C ) are charged 1 2
mgH 2mgH
oppositely with equal amounts of charge distributed 1. 2. q q
uniformly over their respective surfaces. Two similar (of mgH
3. 4. zero
same size) balls of copper(M , M ) are charged in the 1 2
2q
same way as the previous two balls. C , C are allowed 1 2
to touch each other briefly and are separated, and the 22 A point charge q is placed on the x-axis at x = a;
same is done with M , M . The electrostatic force an identical charge is placed on the y-axis at y = a. At
1 2
between C , C is F and that between M , M is F
1 2 C the origin is placed a charge (−2q). The dipole moment
1 2 M
at the same separation. Then: of the charge distribution is:
1. F C= 0, F ≠ 0M 1. 2qa 2. √2qa
2. F ≠ 0, F = 0M qa qa
C
3. 4.
3. F C
= 0, F = 0M
2 √2
4. F ≠ 0, F ≠ 0
23 The capacitance of a sphere of radius a, surface
C M
18 The electrostatic potential in a region of space is area A is:
1.
4πε0 A
2.
2πε0 A
given by the function: a a
where A, a are constants.
2πx
ε0 A
V (x) = A cos ( ),
3.
ε0 A
a 4.
The potential at x = a
2
is: a 2πa
1. zero 2. A
24 Two uniformly charged spheres of radii R, carrying
3. 4.
A
−A
2
charges Q1 and Q are placed with their centres a
2
distance r, apart. The force between the spheres is:
19 The electrostatic potential in a region of space is (r ≫ R)
given by the function:
where A, a are constants.
2πx
V (x) = A cos ( ),
a
The electrostatic field at x = is: a
4
1. zero 2. 2πA
a
3. −
2πA
a
4. infinity
Q1 Q2 Q1 Q2
1. k
2
2. k
2
(r −R )
2
r
Q1 Q2 Q1 Q2
3. k
2
r +R
2
4. k
(r+R)
2
Page: 3
