A solid sphere of radius R 1 and volume charge density ρ = ρ 0 r is enclosed by a hollow sphere of radius R 2 with negative surface charge density σ , such that the total charge in the system is zero, ρ 0 is a positive constant and r is the distance from the centre of the sphere. The ratio R 2 R 1 is

Question

A solid sphere of radius R 1 and volume charge density ρ = ρ 0 r is enclosed by a hollow sphere of radius R 2 with negative surface charge density σ , such that the total charge in the system is zero, ρ 0 is a positive constant and r is the distance from the centre of the sphere. The ratio R 2 R 1 is, σ ρ 0, 2 σ ρ 0, ρ 0 2 σ, ρ 0 σ

MARKS App · Accepted Answer

For solid sphere of radius R 1 q 1 = ∫ 0 R 1 4 π r 2 d r ρ = ∫ 0 R 1 4 π r 2 d r ρ 0 r q 1 = 4 π R 1 2 2 ρ 0 q 2 = - 4 π R 2 2 σ q 1 + q 2 = 0 4 π R 1 2 ρ 0 2 - 4 π R 2 2 σ = 0 R 1 R 2 2 = 2 σ ρ 0 R 2 R 1 = ρ 0 2 σ

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