There are two metallic spheres A and B having radii equal to R and 2R respectively. A charge Q is distributed on these two spheres such that the two spheres have equal surface charge densities. The ratio of charge on A to charge on B is:

1 : 4

The correct answer is Option (1) → 1 : 4

The surface charge density $(σ)$ is -

and,

$σ_A=σ_B$ [Given]

$\frac{q_A}{4πR^2}=\frac{q_B}{4π(2R)^2}$

$⇒\frac{q_A}{q_B}=\frac{1}{4}$