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A particle having mass m and charge q is...

A particle having mass m and charge `q` is released from the origin in a region in which ele field and magnetic field are given by `B=-B_0hatj`and `E=E_0hatk`.
Find the y- component of the velocity and the speed of the particle as a function of it z-coordinate.

A

`sqrt((2qE_(0)z)/(m))`

B

`sqrt((qE_(0)z)/(m))`

C

`sqrt((qE_(0)z)/(2m))`

D

`sqrt((4qE_(0)z)/(m))`

Text Solution

Verified by Experts

The correct Answer is:
A
The work is done by electric force.
Work done `=` change in kinetic energy
`W_(1 rarr 2) = Delta K`
`qE_(0)z = (1)/(2)mv^(2) - 0`
`v = sqrt((2qE_(0)z)/(m))`
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