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

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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 is A.

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Detailed Solution

According to Gauss’s theorem electric field between two cylinders $E = \frac{λ}{2 {πε}_{0} r}$ . This electric field will produce a potential differences, $dV = - \bar{E} \cdot \bar{dr}$ . When a charge density is given to the inner cylinder, the potential developed at its surface is different

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