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%
From NCERT
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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%
From NCERT
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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%
From NCERT
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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 $\frac{{q}_{3}}{4\pi {\epsilon }_{0}}k$, where k is:

 1 8q2 2 8q1 3 6q2 4 6q1
Subtopic:  Electric Potential Energy |
66%
From NCERT
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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 |
66%
From NCERT
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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%
From NCERT
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. $\frac{\sqrt{2}{Q}^{2}}{4\pi {\epsilon }_{0}a}$

3. $\frac{\sqrt{2}{Q}^{2}}{\pi {\epsilon }_{0}a}$

4. $\frac{{Q}^{2}}{2\pi {\epsilon }_{0}a}$

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%
From NCERT
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Figure shows a ball having a charge $$q$$ fixed at a point $\mathrm{A}$. 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 |
From NCERT
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