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Electrostatics question

2010 · Shift 0 · Q69

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JEE Main
Physics
Electrostatics
2010 · Shift 0 · Q69

Electrostatics question

2010 · Shift 0 · Q69

JEE MainPhysicsElectrostaticsMCQ+4 / −1

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 \lt R} \right)

from the origin is given by

A
${{{\rho _0}r} \over {4{\varepsilon _0}}}\left( {{5 \over 3} - {r \over R}} \right)$
B
${{4\pi {\rho _0}r} \over {3{\varepsilon _0}}}\left( {{5 \over 3} - {r \over R}} \right)$
C
${{4{\rho _0}r} \over {4{\varepsilon _0}}}\left( {{5 \over 4} - {r \over R}} \right)$
D
${{{\rho _0}r} \over {3{\varepsilon _0}}}\left( {{5 \over 4} - {r \over R}} \right)$

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