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A charged ball with mass m and charge q ...

A charged ball with mass m and charge q is dropped from a height h over a non-conducting smooth horizontal plane. There exists a uniform electric field `E_0` in vertically downward direction and the coefficient of restitution between the ball and the plane is e. Find the maximum height attained by the ball after `n^(th)` collision.

Text Solution

Verified by Experts

The correct Answer is:
`he^(2n)`
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Knowledge Check

  • A ball is dropped from height h on the ground where co-efficient of restitution is e. After one bounce the maximum height is

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    `e^(2)h`
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    `eh^(2)`
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    `e^(4)h`
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  • A ball is projected from the ground with speed u at an angle alpha with horizontal. It collides with a wall at some distance from the point of projection and returns on the same level. Coefficient of restitution between the ball and the wall is e, then time taken in path AB and maximum height attained by the ball is

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