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 |
72%
From NCERT
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A charge $$q_1=5 \times 10^{-8} ~\text{C}$$ is kept at $$3$$ cm from a charge $$q_2=-2 \times 10^{-8} ~\text{C}$$. The potential energy of the system relative to the potential energy at infinite separation is:

 1 $$3\times 10^{-4}~\text{J}$$ 2 $$-3\times 10^{-4}~\text{J}$$ 3 $$9\times 10^{-6}~\text{J}$$ 4 $$-9\times 10^{-6}~\text{J}$$
Subtopic:  Electric Potential Energy |
73%
From NCERT
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Two charges $$q_1$$ and $$q_2$$ are placed $$30~\text{cm}$$ apart, as shown in the figure. A third charge $$q_3$$ is moved along the arc of a circle of radius $$40~\text{cm}$$ from $$C$$ to $$D.$$ The change in the potential energy of the system is $$\dfrac{q_{3}}{4 \pi \varepsilon_{0}} k,$$ where $$k$$ is:

 1 $$8q_2$$ 2 $$8q_1$$ 3 $$6q_2$$ 4 $$6q_1$$
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 $$0.53~\mathring{A}$$. 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 |
68%
From NCERT
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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%
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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 an initial velocity $$2v,$$ is:

 1 $$\dfrac{r}{4}$$ 2 $$\dfrac{r}{2}$$ 3 $$\dfrac{r}{16}$$ 4 $$\dfrac{r}{8}$$
Subtopic:  Electric Potential Energy |
68%
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. $$\frac{\sqrt{2} Q^{2}}{4 \pi \varepsilon_{0} a}$$
3. $$\frac{\sqrt{2} Q^{2}}{\pi \varepsilon_{0} a}$$
4. $$\frac{Q^{2}}{2 \pi \varepsilon_{0} a}$$

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 $$2 a$$. 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 $$\frac{\sqrt{2}q}{3 \pi \varepsilon_0 {ma}^3}$$ 2 $$\frac{q}{\sqrt{3 \pi \varepsilon_0 {ma}^3 }}$$ 3 $$\frac{q}{\sqrt{6 \pi \varepsilon_0 {ma}^3 }}$$ 4 $$\frac{\sqrt{2} q}{4 \pi \varepsilon_0 m a^3}$$
Subtopic:  Electric Potential Energy |
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