Let there be a spherically symmetric charge distribution with charge density varying as ρ (r) = ρ ₀(5/4 - r/R) upto r=R, and ρ (r) = 0 for r>R, where r is the distance from the erigin. The electric field at a distance r(r < R) from the origin is given by

(A) (ρ ₀r)/(4ε ₀)(5/3 - r/R)

(B) (4π ρ ₀r)/(3ε ₀)(5/3 - r/R)

(C) (4ρ ₀r)/(4ε ₀)(5/4 - r/R)

(D) (ρ ₀r)/(3ε ₀)(5/4 - r/R)

Electrostatics: JEE Main 2010 Physics question

JEE Main 2010 · Annual, Paper 1 · Q6956

JEE Main 2010Annual, Paper 1PhysicsMediumElectrostatics167× since 2002

Let there be a spherically symmetric charge distribution with charge density varying as

\rho \left( r \right) = {\rho _0}\left( {{5 \over 4} - {r \over R}} \right)

upto

r=R,

and

\rho \left( r \right) = 0

for

r>R,

where

r

is the distance from the erigin. The electric field at a distance

r\left( {r < R} \right)

from the origin is given by

JEE Main 2010 Electrostatics Question with Solution (Annual Paper 1, Q6956) | JEE Arc