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A charged particle of mass m and charge ...

A charged particle of mass `m` and charge `q` is released from rest in an electric field of constant magnitude `E`. The kinetic energy of the particle after time `t` is

A

`(2E^(2) t^(2) )/( mq)`

B

`(E^(2) q^(2) r^(2) )/( 2m)`

C

`(Eq^(2) m)/( 2t^(2) )`

D

`( Eqm)/( 2t)`

Text Solution

Verified by Experts

The correct Answer is:
B
`F = qE`
`a = (F)/(m) = (qE)/( m)`
`v = at = (q E t)/( m)`
Kinetic energy `= (1)/(2) m [ (q Et)/(m)]^(2) = (E^2 q^2 t^2)/( 2m)`
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