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A conductor with a positive charge:

1. is always at +ve potential.
2. is always at zero potential.
3. is always at negative potential.
4. may be at +ve, zero or –ve potential.

Subtopic:  Electric Potential |
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Level 2: 60%+
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On rotating a point charge having a charge \(q\) around a charge \(Q\) in a circle of radius \(r,\) the work done will be:

1. \(q \times2 \pi r\) 2. \(q \times2 \pi Q \over r\)
3. zero 4. \(Q \over 2\varepsilon_0r\)
Subtopic:  Equipotential Surfaces |
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Level 1: 80%+
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In the figure the charge \(Q\) is at the centre of the circle. Work done by the conservative force is maximum when another charge is taken from point \(P\) to:

       

1. \(K\) 2. \(L\)
3. \(M\) 4. \(N\)
Subtopic:  Electric Potential |
 70%
Level 2: 60%+
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What is the potential energy of two equal positive point charges of \(1~ \mu \text{C}\) each held \(1~\text m\) apart in the air?
1. \(9 \times 10^{-3}~\text{J}\) 2. \(9 \times 10^{-3}~\text{eV}\)
3. \(2~\text{eV/m}\) 4. zero
Subtopic:  Electric Potential Energy |
 78%
Level 2: 60%+
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Ten electrons are equally spaced and fixed around a circle of radius \(R\). Relative to \(V=0\) at infinity, the electrostatic potential \(V\) and the electric field \(E\) at the centre \(C\) are:
1.  \(V \neq 0 \text { and } \vec{E} \neq 0\)
2. \(V \neq 0 \text { and } \vec{E}=0\)
3. \(V=0 \text { and } \vec{E}=0\)
4. \(V=0 \text { and } \vec{E} \neq 0\)
Subtopic:  Electric Potential |
 80%
Level 1: 80%+
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A cube of a metal is given a positive charge \(Q.\) For the above system, which of the following statements is true?
1. The electric potential at the surface of the cube is zero.
2. The electric potential within the cube is zero.
3. The electric field is normal to the surface of the cube.
4. The electric field varies within the cube.
Subtopic:  Equipotential Surfaces |
 78%
Level 2: 60%+
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Three charges \(Q\)\(+q \) and \(+q \) are placed at the vertices of an equilateral triangle of side \(l\) as shown in the figure. If the net electrostatic energy of the system is zero, then \(Q\) is equal to:

1. \(-\frac{q}{2} \) 2. \(-q\)
3. \(+q\) 4. \(\text{zero}\)
Subtopic:  Electric Potential Energy |
 74%
Level 2: 60%+
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A thin spherical conducting shell of radius \(R\) has a charge \(q.\) Another charge \(Q\) is placed at the centre of the shell. The electrostatic potential at a point \(P\) which is at a distance \(\dfrac{R}{2}\) from the centre of the shell is:
1. \(\dfrac{\left( q + Q \right)}{4 \pi \varepsilon_{0}} \dfrac{2}{R}\)
2. \(\dfrac{2 Q}{4 \pi \varepsilon_{0} R}\)
3. \(\dfrac{2 Q}{4 \pi \varepsilon_{0} R} - \dfrac{2 q}{4 \pi \varepsilon_{0} R}\)
4. \(\dfrac{2 Q}{4 \pi \varepsilon_{0} R} + \dfrac{q}{4 \pi \varepsilon_{0} R}\)

Subtopic:  Electric Potential |
 64%
Level 2: 60%+
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A charge of \(10\) e.s.u. is placed at a distance of \(2\) cm from a charge of \(40\) e.s.u. and \(4\) cm from another charge of \(20\) e.s.u. The potential energy of the charge \(10\) e.s.u. is: (in ergs) 

1. \(87.5\) 2. \(112.5\)
3. \(150\) 4. \(250\)
Subtopic:  Electric Potential Energy |
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Level 3: 35%-60%
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In a certain charge distribution, all points having zero potential can be joined by a circle \(S.\) The points inside \(S\) have positive potential, and points outside \(S\) have a negative potential. A positive charge, which is free to move, is placed inside \(S.\) What is the correct statement about \(S\):

1. It will remain in  equilibrium
2. It can move inside \(S,\) but it cannot cross \(S\)
3. It must cross \(S\) at some time
4. It may move, but will ultimately return to its starting point
Subtopic:  Equipotential Surfaces |
Level 3: 35%-60%
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