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JEEMAIN-2014
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Q)
A spherically symmetric charge distribution is characterised by a charge density having the following variation :
ρ
(
r
)
=
ρ
0
(
1
−
r
R
)
f
o
r
r
<
R
ρ
(
r
)
=
0
r
≥
R
where r is the distance from the center of the charge distribution and
ρ
0
is a constant .The electric field at an internal point
(
r
<
R
)
is :
(
a
)
ρ
0
4
∈
0
(
r
3
−
r
2
4
R
)
(
b
)
ρ
0
∈
0
(
r
3
−
r
2
4
R
)
(
c
)
ρ
0
3
∈
0
(
r
3
−
r
2
4
R
)
(
d
)
ρ
0
12
∈
0
(
r
3
−
r
2
4
R
)
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