Electrostatic Potential and Capacitance: JEE Mains Previous Year Questions (2021-2024) | Physics for JEE Main & Advanced PDF Download

 Page 1


 
2024 
 
Q1 - 2024 (01 Feb Shift 1) 
Two identical charged spheres are suspended by strings of equal lengths. The strings 
make an angle ?? with each other. When suspended in water the angle remains the 
same. If density of the material of the sphere is 1.5g/cc, the dielectric constant of water 
will be 
(Take density of water = 1g/cc) 
Q2 - 2024 (01 Feb Shift 2) 
C
1
andC
2
 are two hollow concentric cubes enclosing charges 2Q and 3Q respectively as 
shown in figure. The ratio of electric flux passing through ?? 1
 and?? 2
 is: 
 
(1) 2: 5 
(2) 5: 2 
(3) 2: 3 
(4) 3: 2 
Q3 - 2024 (01 Feb Shift 2) 
Suppose a uniformly charged wall provides a uniform electric field of 2 × 10
4
N/C 
normally. A charged particle of mass 2g being suspended through a silk thread of length 
Page 2


 
2024 
 
Q1 - 2024 (01 Feb Shift 1) 
Two identical charged spheres are suspended by strings of equal lengths. The strings 
make an angle ?? with each other. When suspended in water the angle remains the 
same. If density of the material of the sphere is 1.5g/cc, the dielectric constant of water 
will be 
(Take density of water = 1g/cc) 
Q2 - 2024 (01 Feb Shift 2) 
C
1
andC
2
 are two hollow concentric cubes enclosing charges 2Q and 3Q respectively as 
shown in figure. The ratio of electric flux passing through ?? 1
 and?? 2
 is: 
 
(1) 2: 5 
(2) 5: 2 
(3) 2: 3 
(4) 3: 2 
Q3 - 2024 (01 Feb Shift 2) 
Suppose a uniformly charged wall provides a uniform electric field of 2 × 10
4
N/C 
normally. A charged particle of mass 2g being suspended through a silk thread of length 
20cm and remain stayed at a distance of 10cm from the wall. Then the charge on the 
particle will be 
1
 ?? ?? C where x = [use g = 10m/s
2
 ] 
Q4 - 2024 (27 Jan Shift 1) 
An electric charge 10
-6
?? C is placed at origin (0,0)m of X - Y co-ordinate system. Two 
points P and Q are situated at ( 3, 3)m and ( 6, 0)m respectively. The potential 
difference between the points ?? and ?? will be : 
(1)  3V 
(2)  6V 
(3) 0V 
(4) 3V 
Q5 - 2024 (27 Jan Shift 1) 
A thin metallic wire having cross sectional area of 10
-4
m
2
 is used to make a ring of 
radius 30cm. A positive charge of 2?? C is uniformly distributed over the ring, while 
another positive charge of 30pC is kept at the centre of the ring. The tension in the ring is 
__ N; provided that the ring does not get deformed (neglect the influence of gravity). 
(given, 
1
4?? ?? 0
= 9 × 10
9
SI units) 
Q6 - 2024 (27 Jan Shift 2) 
Given below are two statements : one is labelled as 
Assertion (A) and the other is labeled as Reason (R) 
Assertion (A): Work done by electric field on moving a positive charge on an 
equipotential surface is always zero. 
Reason (R): Electric lines of forces are always perpendicular to equipotential surfaces. 
In the light of the above statements, choose the most appropriate answer from the 
options given below : 
(1) Both (A) and (R) are correct but (R) is not the correct explanation of (A) 
(2) ((?? ) is correct but (?? ) is not correct 
(3) (A) is not correct but (R) is correct 
(4) Both (A) and (R) are correct and (R) is the correct explanation of (A) 
Q7 - 2024 (27 Jan Shift 2) 
Two charges of -4?? C and +4?? C are placed at the points ?? (1,0,4)m and ?? (2,-1,5)m 
located in an electric field E
   
= 0.20i V/cm. The magnitude of the torque acting on the 
dipole is 8 ?? × 10
-5
Nm, Where ?? = 
Q8 - 2024 (27 Jan Shift 2) 
Page 3


 
2024 
 
Q1 - 2024 (01 Feb Shift 1) 
Two identical charged spheres are suspended by strings of equal lengths. The strings 
make an angle ?? with each other. When suspended in water the angle remains the 
same. If density of the material of the sphere is 1.5g/cc, the dielectric constant of water 
will be 
(Take density of water = 1g/cc) 
Q2 - 2024 (01 Feb Shift 2) 
C
1
andC
2
 are two hollow concentric cubes enclosing charges 2Q and 3Q respectively as 
shown in figure. The ratio of electric flux passing through ?? 1
 and?? 2
 is: 
 
(1) 2: 5 
(2) 5: 2 
(3) 2: 3 
(4) 3: 2 
Q3 - 2024 (01 Feb Shift 2) 
Suppose a uniformly charged wall provides a uniform electric field of 2 × 10
4
N/C 
normally. A charged particle of mass 2g being suspended through a silk thread of length 
20cm and remain stayed at a distance of 10cm from the wall. Then the charge on the 
particle will be 
1
 ?? ?? C where x = [use g = 10m/s
2
 ] 
Q4 - 2024 (27 Jan Shift 1) 
An electric charge 10
-6
?? C is placed at origin (0,0)m of X - Y co-ordinate system. Two 
points P and Q are situated at ( 3, 3)m and ( 6, 0)m respectively. The potential 
difference between the points ?? and ?? will be : 
(1)  3V 
(2)  6V 
(3) 0V 
(4) 3V 
Q5 - 2024 (27 Jan Shift 1) 
A thin metallic wire having cross sectional area of 10
-4
m
2
 is used to make a ring of 
radius 30cm. A positive charge of 2?? C is uniformly distributed over the ring, while 
another positive charge of 30pC is kept at the centre of the ring. The tension in the ring is 
__ N; provided that the ring does not get deformed (neglect the influence of gravity). 
(given, 
1
4?? ?? 0
= 9 × 10
9
SI units) 
Q6 - 2024 (27 Jan Shift 2) 
Given below are two statements : one is labelled as 
Assertion (A) and the other is labeled as Reason (R) 
Assertion (A): Work done by electric field on moving a positive charge on an 
equipotential surface is always zero. 
Reason (R): Electric lines of forces are always perpendicular to equipotential surfaces. 
In the light of the above statements, choose the most appropriate answer from the 
options given below : 
(1) Both (A) and (R) are correct but (R) is not the correct explanation of (A) 
(2) ((?? ) is correct but (?? ) is not correct 
(3) (A) is not correct but (R) is correct 
(4) Both (A) and (R) are correct and (R) is the correct explanation of (A) 
Q7 - 2024 (27 Jan Shift 2) 
Two charges of -4?? C and +4?? C are placed at the points ?? (1,0,4)m and ?? (2,-1,5)m 
located in an electric field E
   
= 0.20i V/cm. The magnitude of the torque acting on the 
dipole is 8 ?? × 10
-5
Nm, Where ?? = 
Q8 - 2024 (27 Jan Shift 2) 
The electric potential at the surface of an atomic nucleus (z = 50) of radius 9 × 10
-13
cm 
is______ × 10
6
V 
Q9 - 2024 (29 Jan Shift 1) 
Two charges of 5Q and -2Q are situated at the points (3?? , 0) and (-5?? , 0) respectively. 
The electric flux through a sphere of radius ' 4a ' having center at origin is : 
(1) 
2?? ?? 0
 
(2) 
5?? ?? 0
 
(3) 
7Q
?? 0
 
(4) 
3?? ?? 0
 
Q10 - 2024 (29 Jan Shift 1) 
Match List I with List II 
 List I  List II 
A. 
? B
   
· dl
    
= ?? 0
i
c
+ ?? 0
?? 0
d?? E
dt
 
I. 
Gauss' 
law for 
electricity 
 
B. hath ? E
   
· di =
d?? B
dt
 II. 
Gauss' 
law for 
magnetism 
 
C. ? E
   
· dA
      
=
Q
?? 0
 III. 
Faraday 
law 
 
Page 4


 
2024 
 
Q1 - 2024 (01 Feb Shift 1) 
Two identical charged spheres are suspended by strings of equal lengths. The strings 
make an angle ?? with each other. When suspended in water the angle remains the 
same. If density of the material of the sphere is 1.5g/cc, the dielectric constant of water 
will be 
(Take density of water = 1g/cc) 
Q2 - 2024 (01 Feb Shift 2) 
C
1
andC
2
 are two hollow concentric cubes enclosing charges 2Q and 3Q respectively as 
shown in figure. The ratio of electric flux passing through ?? 1
 and?? 2
 is: 
 
(1) 2: 5 
(2) 5: 2 
(3) 2: 3 
(4) 3: 2 
Q3 - 2024 (01 Feb Shift 2) 
Suppose a uniformly charged wall provides a uniform electric field of 2 × 10
4
N/C 
normally. A charged particle of mass 2g being suspended through a silk thread of length 
20cm and remain stayed at a distance of 10cm from the wall. Then the charge on the 
particle will be 
1
 ?? ?? C where x = [use g = 10m/s
2
 ] 
Q4 - 2024 (27 Jan Shift 1) 
An electric charge 10
-6
?? C is placed at origin (0,0)m of X - Y co-ordinate system. Two 
points P and Q are situated at ( 3, 3)m and ( 6, 0)m respectively. The potential 
difference between the points ?? and ?? will be : 
(1)  3V 
(2)  6V 
(3) 0V 
(4) 3V 
Q5 - 2024 (27 Jan Shift 1) 
A thin metallic wire having cross sectional area of 10
-4
m
2
 is used to make a ring of 
radius 30cm. A positive charge of 2?? C is uniformly distributed over the ring, while 
another positive charge of 30pC is kept at the centre of the ring. The tension in the ring is 
__ N; provided that the ring does not get deformed (neglect the influence of gravity). 
(given, 
1
4?? ?? 0
= 9 × 10
9
SI units) 
Q6 - 2024 (27 Jan Shift 2) 
Given below are two statements : one is labelled as 
Assertion (A) and the other is labeled as Reason (R) 
Assertion (A): Work done by electric field on moving a positive charge on an 
equipotential surface is always zero. 
Reason (R): Electric lines of forces are always perpendicular to equipotential surfaces. 
In the light of the above statements, choose the most appropriate answer from the 
options given below : 
(1) Both (A) and (R) are correct but (R) is not the correct explanation of (A) 
(2) ((?? ) is correct but (?? ) is not correct 
(3) (A) is not correct but (R) is correct 
(4) Both (A) and (R) are correct and (R) is the correct explanation of (A) 
Q7 - 2024 (27 Jan Shift 2) 
Two charges of -4?? C and +4?? C are placed at the points ?? (1,0,4)m and ?? (2,-1,5)m 
located in an electric field E
   
= 0.20i V/cm. The magnitude of the torque acting on the 
dipole is 8 ?? × 10
-5
Nm, Where ?? = 
Q8 - 2024 (27 Jan Shift 2) 
The electric potential at the surface of an atomic nucleus (z = 50) of radius 9 × 10
-13
cm 
is______ × 10
6
V 
Q9 - 2024 (29 Jan Shift 1) 
Two charges of 5Q and -2Q are situated at the points (3?? , 0) and (-5?? , 0) respectively. 
The electric flux through a sphere of radius ' 4a ' having center at origin is : 
(1) 
2?? ?? 0
 
(2) 
5?? ?? 0
 
(3) 
7Q
?? 0
 
(4) 
3?? ?? 0
 
Q10 - 2024 (29 Jan Shift 1) 
Match List I with List II 
 List I  List II 
A. 
? B
   
· dl
    
= ?? 0
i
c
+ ?? 0
?? 0
d?? E
dt
 
I. 
Gauss' 
law for 
electricity 
 
B. hath ? E
   
· di =
d?? B
dt
 II. 
Gauss' 
law for 
magnetism 
 
C. ? E
   
· dA
      
=
Q
?? 0
 III. 
Faraday 
law 
 
D. 
? ??  
· ?? ??      
= 0 
IV. 
Ampere - 
Maxwell 
law 
 
 
Chose the correct answer from the options given below 
(1) A-IV, B-I, C-III, D-II 
(2) A-II, B-III, C-I, D-IV 
(3) A-IV, B-III, C-I, D-II 
(4) A-I, B-II, C-III, D-IV 
Q11 - 2024 (29 Jan Shift 1) 
An electron is moving under the influence of the electric field of a uniformly charged 
infinite plane sheet ?? having surface charge density +?? . The electron at ?? = 0 is at a 
distance of 1m from S and has a speed of 1m/s. The maximum value of ?? if the electron 
strikes S at t = 1s is ?? 
m?? 0
e
 
C
m
2
 the value of ?? is 
Q12 - 2024 (29 Jan Shift 2) 
An electric field is given by (6?? + 5?? + 3?? 
)?? /?? . The electric flux through a surface area 
30i m
2
 lying in YZplane (in SI unit) is : 
(1) 90 
(2) 150 
(3) 180 
(4) 60 
Q13 - 2024 (30 Jan Shift 1) 
The electrostatic potential due to an electric dipole at a distance ' ?? ' varies as: 
(1) r 
(2) 
1
?? 2
 
(3) 
1
?? 3
 
(4) 
1
?? 
Q14 - 2024 (30 Jan Shift 2) 
A particle of charge ' -?? ' and mass ' ?? ' moves in a circle of radius ' ?? ' around an 
infinitely long line charge of linear density ' +?? '. Then time period will be given as: 
Page 5


 
2024 
 
Q1 - 2024 (01 Feb Shift 1) 
Two identical charged spheres are suspended by strings of equal lengths. The strings 
make an angle ?? with each other. When suspended in water the angle remains the 
same. If density of the material of the sphere is 1.5g/cc, the dielectric constant of water 
will be 
(Take density of water = 1g/cc) 
Q2 - 2024 (01 Feb Shift 2) 
C
1
andC
2
 are two hollow concentric cubes enclosing charges 2Q and 3Q respectively as 
shown in figure. The ratio of electric flux passing through ?? 1
 and?? 2
 is: 
 
(1) 2: 5 
(2) 5: 2 
(3) 2: 3 
(4) 3: 2 
Q3 - 2024 (01 Feb Shift 2) 
Suppose a uniformly charged wall provides a uniform electric field of 2 × 10
4
N/C 
normally. A charged particle of mass 2g being suspended through a silk thread of length 
20cm and remain stayed at a distance of 10cm from the wall. Then the charge on the 
particle will be 
1
 ?? ?? C where x = [use g = 10m/s
2
 ] 
Q4 - 2024 (27 Jan Shift 1) 
An electric charge 10
-6
?? C is placed at origin (0,0)m of X - Y co-ordinate system. Two 
points P and Q are situated at ( 3, 3)m and ( 6, 0)m respectively. The potential 
difference between the points ?? and ?? will be : 
(1)  3V 
(2)  6V 
(3) 0V 
(4) 3V 
Q5 - 2024 (27 Jan Shift 1) 
A thin metallic wire having cross sectional area of 10
-4
m
2
 is used to make a ring of 
radius 30cm. A positive charge of 2?? C is uniformly distributed over the ring, while 
another positive charge of 30pC is kept at the centre of the ring. The tension in the ring is 
__ N; provided that the ring does not get deformed (neglect the influence of gravity). 
(given, 
1
4?? ?? 0
= 9 × 10
9
SI units) 
Q6 - 2024 (27 Jan Shift 2) 
Given below are two statements : one is labelled as 
Assertion (A) and the other is labeled as Reason (R) 
Assertion (A): Work done by electric field on moving a positive charge on an 
equipotential surface is always zero. 
Reason (R): Electric lines of forces are always perpendicular to equipotential surfaces. 
In the light of the above statements, choose the most appropriate answer from the 
options given below : 
(1) Both (A) and (R) are correct but (R) is not the correct explanation of (A) 
(2) ((?? ) is correct but (?? ) is not correct 
(3) (A) is not correct but (R) is correct 
(4) Both (A) and (R) are correct and (R) is the correct explanation of (A) 
Q7 - 2024 (27 Jan Shift 2) 
Two charges of -4?? C and +4?? C are placed at the points ?? (1,0,4)m and ?? (2,-1,5)m 
located in an electric field E
   
= 0.20i V/cm. The magnitude of the torque acting on the 
dipole is 8 ?? × 10
-5
Nm, Where ?? = 
Q8 - 2024 (27 Jan Shift 2) 
The electric potential at the surface of an atomic nucleus (z = 50) of radius 9 × 10
-13
cm 
is______ × 10
6
V 
Q9 - 2024 (29 Jan Shift 1) 
Two charges of 5Q and -2Q are situated at the points (3?? , 0) and (-5?? , 0) respectively. 
The electric flux through a sphere of radius ' 4a ' having center at origin is : 
(1) 
2?? ?? 0
 
(2) 
5?? ?? 0
 
(3) 
7Q
?? 0
 
(4) 
3?? ?? 0
 
Q10 - 2024 (29 Jan Shift 1) 
Match List I with List II 
 List I  List II 
A. 
? B
   
· dl
    
= ?? 0
i
c
+ ?? 0
?? 0
d?? E
dt
 
I. 
Gauss' 
law for 
electricity 
 
B. hath ? E
   
· di =
d?? B
dt
 II. 
Gauss' 
law for 
magnetism 
 
C. ? E
   
· dA
      
=
Q
?? 0
 III. 
Faraday 
law 
 
D. 
? ??  
· ?? ??      
= 0 
IV. 
Ampere - 
Maxwell 
law 
 
 
Chose the correct answer from the options given below 
(1) A-IV, B-I, C-III, D-II 
(2) A-II, B-III, C-I, D-IV 
(3) A-IV, B-III, C-I, D-II 
(4) A-I, B-II, C-III, D-IV 
Q11 - 2024 (29 Jan Shift 1) 
An electron is moving under the influence of the electric field of a uniformly charged 
infinite plane sheet ?? having surface charge density +?? . The electron at ?? = 0 is at a 
distance of 1m from S and has a speed of 1m/s. The maximum value of ?? if the electron 
strikes S at t = 1s is ?? 
m?? 0
e
 
C
m
2
 the value of ?? is 
Q12 - 2024 (29 Jan Shift 2) 
An electric field is given by (6?? + 5?? + 3?? 
)?? /?? . The electric flux through a surface area 
30i m
2
 lying in YZplane (in SI unit) is : 
(1) 90 
(2) 150 
(3) 180 
(4) 60 
Q13 - 2024 (30 Jan Shift 1) 
The electrostatic potential due to an electric dipole at a distance ' ?? ' varies as: 
(1) r 
(2) 
1
?? 2
 
(3) 
1
?? 3
 
(4) 
1
?? 
Q14 - 2024 (30 Jan Shift 2) 
A particle of charge ' -?? ' and mass ' ?? ' moves in a circle of radius ' ?? ' around an 
infinitely long line charge of linear density ' +?? '. Then time period will be given as: 
(Consider k as Coulomb's constant) 
(1) T
2
=
4?? 2
m
2k?? q
r
3
 
(2) ?? = 2?? ?? 
?? 2?? ?? ?? 
(3) T =
1
2?? r
 
m
2k?? q
 
(4) T =
1
2?? 
2k?? q
m
 
Q15 - 2024 (30 Jan Shift 2) 
Two identical charged spheres are suspended by string of equal lengths. The string 
make an angle of 37
°
 with each other. When suspended in a liquid of density 0.7g/cm
3
, 
the angle remains same. If density of material of the sphere is 1.4g/cm
3
, the dielectric 
constant of the liquid is  tan? 37
°
=
3
4
 . 
Q16 - 2024 (31 Jan Shift 1) 
Two charges ?? and 3?? are separated by a distance ' ?? ' in air. At a distance ?? from 
charge ?? , the resultant electric field is zero. The value of ?? is : 
(1) 
(1+ 3)
r
 
(2) 
?? 3(1+ 3)
 
(3) 
?? (1+ 3)
 
(4) r(1 + 3) 
Q17 - 2024 (31 Jan Shift 2) 
Force between two point charges q
1
 and q
2
 placed in vacuum at ' ?? '
cm apart is F. Force 
between them when placed in a medium having dielectric K = 5 at ' r/5
'
cm apart will be: 
(1) F/25 
(2) 5F 
(3) F/5 
(4) 25F