A uniformly charged solid sphere of radius R has potential V0 (measured with respect to oo) on its surface.

Question

A uniformly charged solid sphere of radius R has potential V₀ (measured with respect to ∞) on its surface. For this sphere, the equipotential surfaces with potentials 3V₀/2, 5V₀/4, 3V₀/4 and V₀/4 have radius R₁, R₂, R₃, and R₄ respectively. Then,

(a) R₁  = 0 and R₂ > (R₄ - R₃)

(b)  R₁  = 0 and (R₂ - R₁) > (R₄ - R₃)

(c)  R₁  = 0 and R₂ < (R₄ - R₃)

(d) 2R < R₄

Answer 1

Correct Option (c)  R₁  = 0 and R₂ < (R₄ - R₃) and (d) 2R < R₄

Explanation:

Potential at the surface of the charged sphere

As potential decreases for outside point. Thus. according to the question, we can write