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IIT JEE Advanced 2007 Paper 2
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© examsnet.com
Question : 4
Total: 66
A spherical portion has been removed from a solid sphere having a charge distributed uniformly in its volume as shown in the figure. The electric field inside the emptied space is
zero everywhere
non-zero and uniform.
non-uniform.
zero only at its centre.
Validate
Solution:
See the following figure. For a point P inside the cavity, let OP =
r
1
and let OO′ = a.
Now,
→
E
1
(due to the entire sphere) =
ρ
→
r
1
3
ε
0
and
→
E
2
(due to the cavity alone) =
ρ
→
r
2
3
ε
0
Therefore,
→
E
P
=
→
E
1
−
→
E
2
=
ρ
3
ε
0
(
→
r
1
−
→
r
2
)
=
ρ
→
a
3
ε
0
= Constant
That is, the electric field inside the emptied spaces is non-zero and uniform.
© examsnet.com
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