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Let P(r)= Q R^4 r be the charge density distribution for a solid sphere of radius R and total charge Q for a point ' p ' inside the sphere at distance r₁ from the centre of the sphere, the magnitude of electric field is

Options

  1. A0
  2. BQ 4 ₀ r₁^2
  3. CQ₁^2 4 ₀ R^4
  4. DQ₁^2 3 ₀ R^4

Correct answer

C. Q₁^2 4 ₀ R^4

Step-by-step solution

E 4 r ₁^2= ₀^ r₁ Q R^4 r 4 r^2 d r ₀ E= Q r₁^2 4 ₀ R^4

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