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IIT JEE Advanced 2007 Paper 1
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© examsnet.com
Question : 1
Total: 66
A long, hollow conducting cylinder is kept coaxially inside another long, hollow conducting cylinder of larger radius. Both the cylinders are initially electrically neutral.
A potential difference appears between the two cylinders when a charge density is given to the inner cylinder.
A potential difference appears between the two cylinders when a charge density is given to the outer cylinder.
No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders.
No potential difference appears between the two cylinders when same charge density is given to both the cylinders.
Validate
Solution:
Let λ be the charge density on the inner cylinder. For a < r < b, we get
E =
λ
2
π
ε
0
r
ΔV = -
λ
2
π
ε
0
b
∫
a
d
r
r
=
λ
2
π
ε
0
ln
(
a
b
)
Hence, a potential difference appears between the two cylinders when a charge density is given to the inner cylinder.
© examsnet.com
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