Question

Which of the following pairs are analogous?

• A. Energy and power
• B. Gravitational potential energy and electric potential energy
• C. Electric field and gravitational field
• D. None of the above

Answer 1

Answer: (B), (C)

The correct options are
B Gravitational potential energy and electric potential energy
C Electric field and gravitational field

We have to find which pairs are analogous out of four options.

Since gravitational force is analogous to electrostatic force. Similarly gravitational potential energy $=\frac{G{m}_1{m}_2}{r}$ is analogous to electric potential energy $=\frac{k{q}_1{q}_2}{r}$

Similarly, electric field $=\frac{k{q}_1{q}_2}{r^2}$ is analogous to gravitational field $=\frac{G{m}_1{m}_2}{r^2}$

$K=\frac{1}{4\pi {\epsilon }_0}$, constant in coulomb's law analogous to $G$, constant in gravitational law.

$m_1$ and $m_2$ are mass analogous to $q_1$, $q_2$ charges.