Given below are two statements: 


Assertion (A): An isolated system consists of two particles of equal masses \(m=10\) gm and charges \(q_1=1~\mu \)C and  \(q_2=-1~\mu \)C as shown in the figure. The initial separation of both charges is \(l=1\) m. Both the charges are given initial velocities  \(v_1=1\) ms-1 and  \(v_2=2\) ms-1 towards the right. The maximum separation between the charges is infinite.
Reason (R): The total energy (Kinetic energy + electrostatic potential energy) of the given two-particle system is positive and the initial velocity of separation is positive.

1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is true but (R) is false.
4. Both (A) and (R) are false.

Subtopic:  Electric Potential Energy |
 59%
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If \(E\) and \(V\) are electric field and electric potential respectively due to a point charge, then which of the following graph best represents their variation?                

1. 2.
3. 4.
Subtopic:  Relation between Field & Potential |
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A positive charge q and a negative charge -q are placed at x= -a and x= +a respectively. The variation of V along x-axis is represented by the graph:

1.  2.
3. 4.
Subtopic:  Electric Potential |
 62%
From NCERT
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Which of the following statements is correct regarding electrostatics of conductors?

1. The interior of the conductor with no cavity can have no excess charge in the static situation.
2. Electrostatic potential is constant throughout the volume of the conductor.
3. Electrostatic potential has the same value inside as that on its surface.
4. All of these.
Subtopic:  Electrostatic Shielding |
 88%
From NCERT
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A thin conducting spherical shell of radius \(R\) has a charge \(Q\) which is uniformly distributed on its surface. The correct plot for electrostatic potential due to this spherical shell is:

1. 2.  
3. 4.
Subtopic:  Electric Potential |
 66%
From NCERT
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In the circuit shown in the figure initially, key K1 is closed and key K2 is open. Then K1 is opened and K2 is closed (order is important).
(Take Q1 and Q2 as charges on C1 and C2 and V1 and Vas voltage respectively.)

                                     

Then,
 

a. charge on C, gets redistributed such that V1 = V2
b. charge on C, gets redistributed such that Q1 =Q2
c. charge on C, gets redistributed such that C1V1 + C2V2 -C1F
d. charge on C, gets redistributed such that Q1 + Q2 -Q


Choose the correct option:
1. (a), (d)
2. (a), (b), (c)
3. (b), (d)
4. (a), (b), (c), (d)

Subtopic:  Combination of Capacitors |
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If a conductor has a potential V # 0 and there are no charges anywhere else outside, then:
 

a. there must be charges on the surface or inside itself
b. there cannot be any charge in the body of the conductor
c. there must be charges only on the surface
d. there must be charges inside the surface


Choose the correct option:
1. (a), (d)
2. (a), (b), (c)
3. (a), (b)
4. (a), (b), (c), (d)

Subtopic:  Electrostatic Shielding |
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A parallel plate capacitor is connected to a battery as shown in the figure. Consider two situations.

                                        

 

A: Key K is kept closed and plates of capacitors are moved apart using insulating handle.
B: Key K is opened and plates of capacitors are moved apart using the insulating handle.

Choose the correct option(s).

1. In A: Q remains same but C changes. In B: V remains same but C changes.
2. In A: V remains same and hence Q changes.
3. In B: Q remains same and hence V changes.
4. Both (2) and (3).

Subtopic:  Capacitance |
 71%
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Equipotential surfaces:
1. are closer in regions of large electric fields compared to regions of lower electric fields.
2. will be more crowded near the sharp edges of a conductor.
3. will always be equally spaced.
4. both (1) and (2) are correct.

Subtopic:  Equipotential Surfaces |
 69%
From NCERT
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A dielectric slab is inserted between the plates of an isolated charged capacitor. Which of the following remains unchanged?
(I). The charge on the plates 
(II). The potential difference between the plates
(III). The energy stored in the capacitor
 
1. I only
2. I, II
3. I, III
4. I, II, III
Subtopic:  Dielectrics in Capacitors |
 74%
From NCERT
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