1
IIT-JEE 2007 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1

A long, hollow conducting cylinder is kept coaxially inside another long, hollow conducting cylinder of larger radius. Both the cylinder are initially electrically neutral.

A
A potential difference appears between the two cylinders when a charge density is given to the inner cylinder
B
A potential difference appears between the two cylinders when a charge density is given to the outer cylinder
C
No potential difference appears between the two cylinders when a uniform line charge is kept along the axis of the cylinders
D
No potential difference appears between the two cylinders when same charge density is given to both the cylinders
2
IIT-JEE 2007 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1

Consider a neutral conducting sphere. A positive point charge is placed outside the sphere. The net charge on the sphere is then,

A
negative and distributed uniformly over the surface of the sphere
B
negative and appears only at the point on the sphere closest to the point charge
C
negative and distributed non-uniformly over the entire surface of the sphere
D
zero
3
IIT-JEE 2005 Mains
MCQ (Single Correct Answer)
+3
-1

A conducting liquid bubble of radius $$a$$ and thickness $$t(t < < a)$$ is charged to potential V. If the bubble collapses to a droplet, find the potential on the droplet.

A
$$V{\left[ {{2a \over {3t}}} \right]^{1/3}}$$
B
$$V{\left[ {{7a \over {3t}}} \right]^{1/3}}$$
C
$$V{\left[ {{a \over {3t}}} \right]^{1/3}}$$
D
$$V{\left[ {{5a \over {9t}}} \right]^{1/3}}$$

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