A nonconducting sphere of radius R carries a positive charge whose volume charge density varies as ρ=ρ0[1−rR], r≤R, ρ=0, r>R where ρ0 is a constant, ‘r’ is the distance from it’s centre.

Total change in the sphere is π ρ 0 R 3 3 , Electric field at a point ( 0 < r < R ) is ρ 0 ∈ 0 [ r 3 − r 2 4 R ] , Magnitude of electric field is maximum at r = 2 R 3 , Electric field at surface is ρ 0 R 12 ∈ 0

A nonconducting sphere of radius R carries a positive charge whose volume charge density varies as ρ=ρ0[1−rR], r≤R, ρ=0, r>R where ρ0 is a constant, ‘r’ is the distance from it’s centre.

Total change in the sphere is π ρ 0 R 3 3

Electric field at a point ( 0 < r < R ) is ρ 0 ∈ 0 [ r 3 − r 2 4 R ]

Magnitude of electric field is maximum at r = 2 R 3

Electric field at surface is ρ 0 R 12 ∈ 0

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A nonconducting sphere of radius $R$ carries a positive charge whose volume charge density varies as $ρ = ρ_{0} [1 - \frac{r}{R}], r \leq R, ρ = 0, r > R$ where $ρ_{0}$ is a constant, ‘ $r$ ’ is the distance from it’s centre.

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Total change in the sphere is $\frac{π ρ_{0} R^{3}}{3}$

Electric field at a point $(0 < r < R)$ is $\frac{ρ_{0}}{\in_{0}} [\frac{r}{3} - \frac{r^{2}}{4 R}]$

Magnitude of electric field is maximum at $r = \frac{2 R}{3}$

Electric field at surface is $\frac{ρ_{0} R}{12 \in_{0}}$

answer is A, B, C, D.

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