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Section:
Physics
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Question : 23 of 61
Marks:
+1
,
-0
A thin spherical insulating shell of radius R carries a uniformly distributed charge such that the potential at its surface is
V
0
V_0
V
0
.A hole with a small area
α
4
π
R
2
(
α
≪
1
)
α4πR^2(α\ll1)
α
4
π
R
2
(
α
≪
1
)
is made on the shell without affecting the rest of the shell. Which one of the following statement(s) is correct?
[JEE Adv 2019 P1]
The magnitude of electric field at the centre of the shell is reduced by
α
V
0
2
R
\frac{αV_0}{2R}
2
R
α
V
0
The ratio of the potential at the centre of the shell to that of the point at
1
2
R
\frac{1}{2R}
2
R
1
from centre towards the hole will be
1
−
α
2
−
α
\frac{1-α}{2-α}
2
−
α
1
−
α
The magnitude of electric field at a point, located on a line passing through the hole and shell’s center, on a distance 2R from the center of the spherical shell will be reduced by
α
V
0
2
R
\frac{αV_0}{2R}
2
R
α
V
0
The potential at the center of the shell is reduced by
2
a
V
0
2 a V_0
2
a
V
0
Validate
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