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

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

A potential difference appears between the two cylinders when a charge density is given to the outer cylinder.

A potential difference appears between the two cylinders when a charge density is given to the inner 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.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

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