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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.

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The correct Answer is:
B
work is done only by electrostatic force. Hence, from work energy theorem.
`=1/2mv^2=` work done by electrostatic force only `=(qE_0)z` or speed `v=sqrt((2qE_0z)/m)`
particle rotates in a plane perpendicular in B. i.e. in xy-plane only. Hence `v_y=0`
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