Target Exam

CUET

Subject

Physics

Chapter

Electrostatic Potential and Capacitance

Question:

A solid sphere and a hollow sphere of equal diameters are raised to the same potential, then

Options:

solid sphere has more charge

Both have equal charge

hollow sphere has more charge

Only hollow sphere has charge

Correct Answer:

Both have equal charge

Explanation:

The correct answer is Option (2) → Both have equal charge

The capacitance of an isolated spherical conductor is

$C = 4 \pi \epsilon_0 R$

where $R$ is the radius of the sphere.

Capacitance depends only on radius, not on whether the sphere is solid or hollow. If both spheres have the same radius and are raised to the same potential $V$, then

$Q = CV$

Since $C$ and $V$ are the same for both, the charge $Q$ will also be the same.

Hence, both have equal charge.