What is the potential energy of two equal positive point charges of 1 μC each held 1 m apart in air?

1.

2.

3.

4. zero

Subtopic:  Electric Potential Energy |
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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. $\left(-\frac{q}{2}\right)$

2. (–q)

3. (+q)

4. Zero

Subtopic:  Electric Potential Energy |
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A charge  C is kept at 3 cm from a charge . 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 |
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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 |
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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. $\frac{Z{e}^{2}}{2\pi {\epsilon }_{0}m{v}^{2}}$

2. $\frac{Ze}{4\pi {\epsilon }_{0}m{v}^{2}}$

3. $\frac{Z{e}^{2}}{8\pi {\epsilon }_{0}m{v}^{2}}$

4. $\frac{Ze}{8\pi {\epsilon }_{0}m{v}^{2}}$

Subtopic:  Electric Potential Energy |
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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 |
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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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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 |
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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 $2\mathrm{a}$. 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.

2.

3.

4.

Subtopic:  Electric Potential Energy |
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Three charges -Q, q, and -2Q are placed along a line as shown in the figure. The system of charges will have a positive potential energy configuration when q is placed at midpoint of line joining -Q and -2Q, if:

1. $q>\frac{Q}{3}$

2. $q<\frac{Q}{3}$

3. $q>\frac{-Q}{3}$

4. $q<\frac{-Q}{3}$

Subtopic:  Electric Potential Energy |