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JEE Advanced 2013 Paper 1
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© examsnet.com
Question : 11
Total: 60
Two non-conducting solid spheres of radii R and 2R, having uniform volume charge densities
ρ
1
and
ρ
2
respectively, touch each other. The net electric field at a distance 2R from the centre of the smaller sphere, along the line joining the centres of the spheres, is zero. The ratio
ρ
1
ρ
2
can be:
−
4
−
32
25
32
25
4
Validate
Solution:
At point
P
1
,
1
4
π
ε
0
ρ
1
(
4
3
)
π
R
3
4
R
2
=
ρ
1
R
3
ε
0
ρ
1
R
12
=
ρ
2
R
3
ρ
1
ρ
2
= 4
At point
P
2
,
ρ
1
(
4
3
)
π
R
3
(
2
R
)
2
+
ρ
2
(
4
3
)
π
8
R
3
(
5
R
)
2
= 0
∴
ρ
1
ρ
2
=
−
32
25
© examsnet.com
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