A solid sphere and a hollow sphere of equal diameters are raised to the same potential, then
Answer & explanation
Correct answer: option 2
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.