What is the potential energy of two equal positive point charges of \(1~ \mu \text{C}\) each held \(1\) 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 |
 77%
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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 |
 73%
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A charge \(q_1=5 \times 10^{-8} \mathrm{~C}\) is kept at 3 cm from a charge \(q_2=-2 \times 10^{-8} \mathrm{~C}\). The potential energy of the system relative to the potential energy at infinite separation is:

1. 3 x 10-4 J

2. –3 x 10-4 J

3. 9 x 10-6 J

4. –9 x 10-6 J

Subtopic:  Electric Potential Energy |
 73%
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Two charges q1 and q2 are placed 30 cm apart, as shown in the figure. A third charge q3 is moved along the arc of a circle of radius 40 cm from C to D. The change in the potential energy of the system is q34πε0k, where k is:

     

1. 8q2 2. 8q1
3 6q2 4. 6q1
Subtopic:  Electric Potential Energy |
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In a hydrogen atom, the electron and proton are bound at a distance of about 0.53 Å. The potential energy of the system in eV is:
(Taking the zero of the potential energy at an infinite separation of the electron from the proton.)
1. -23.1 eV
2. 27.0 eV
3. -27.2 eV
4. 23.7 eV

Subtopic:  Electric Potential Energy |
 67%
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An elementary particle of mass m and charge +e is projected with velocity v at a much more massive particle of charge Ze, where Z > 0. What is the closest possible approach of the incident particle?

1. \(\frac{Z e^2}{2 \pi \varepsilon_0 m v^2} \) 2. \(\frac{Z_e}{4 \pi \varepsilon_0 m v^2} \)
3. \(\frac{Z e^2}{8 \pi \varepsilon_0 m v^2} \) 4. \(\frac{Z_e}{8 \pi \varepsilon_0 m v^2}\)
Subtopic:  Electric Potential Energy |
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When a particle with charge \(+q\) is thrown with an initial velocity \(v\) towards another stationary change \(+Q,\) it is repelled back after reaching the nearest distance \(r\) from \(+Q.\) The closest distance that it can reach if it is thrown with initial velocity \(2v,\) is:

1. \(\frac{r}{4}\) 2. \(\frac{r}{2}\)
3. \(\frac{r}{16}\) 4. \(\frac{r}{8}\)
Subtopic:  Electric Potential Energy |
 66%
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NEET - 2022
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Four equal charges Q are placed at the four corners of a square of each side ‘a’. Work done in removing a charge – Q from its centre to infinity is:

1. 0

2. 2Q24πε0a

3. 2Q2πε0a

4. Q22πε0a

Subtopic:  Electric Potential Energy |
 59%
From NCERT
AIIMS - 1995
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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 |
 58%
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Figure shows a ball having a charge \(q\) fixed at a point A. Two identical balls having charges \(+q\) and \(–q\) and mass \(‘m’\) each are attached to the ends of a light rod of length \(2 a\)\(2a\). The rod is free to rotate about a fixed axis perpendicular to the plane of the paper and passing through the mid-point of the rod. The system is released from the situation as shown in the figure. The angular velocity of the rod when the rod becomes horizontal will be:

         

1. \(\frac{\sqrt{2} \mathrm{q}}{3 \pi \epsilon_0 \mathrm{ma}^3} \) 2. \(\frac{\mathrm{q}}{\sqrt{3 \pi \epsilon_0 \mathrm{ma}^3 }}\)
3. \(\frac{\mathrm{q}}{\sqrt{6 \pi \epsilon_0 \mathrm{ma}^3 }} \) 4. \(\frac{\sqrt{2} q}{4 \pi \epsilon_0 m a^3} \)
Subtopic:  Electric Potential Energy |
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