Let there be a spherically symmetric charge distribution with charge density varying as
upto r = R, and ρ(r) = 0 for r > R, where r is the distance from the origin. The electric field at a distance r (r < R) from the origin is given by
Text Solution
Verified by ExpertsThe correct answer is:
B
Consider a spherical shell of radius x and thickness dx.
Charge on it dq
dq = ρ × 4πx 2 . dx
dq = ρ 0
x 4πx 2 dx
q = 4πρ 0 
q = 4 ρ 0 
E =
=
× 4πρ 0 
E =

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