IIT-JEE 2007 · Paper 1 · Physics Q4

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PhysicsSingle correct+3 / -1Question 4 of 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

Answer and worked solution

Official answer: A

(A) Charge on the inner cylinder produces a radial field in the gap, so there is a potential difference. True.
(B) Charge on the outer cylinder produces no field inside it (Gauss), so the cylinders stay at the same potential. False.
(C) A line charge on the axis creates a field in the gap, hence a potential difference. False.
(D) With charge on both, the inner cylinder's charge still produces a field in the gap. False.

(A)

Topics:Conductors and charge distribution Electric flux and Gauss's law

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IIT-JEE 2007 · Paper 1, Physics question 4