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Question

Consider a charged particle of mass m and charge q released from the origin in a region of magnetic field, B=B0^j and electric field E=E0^k . The speed of the particle as a function of its zcoordinate will be (Neglect gravity)

A
2qE0zm
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B
3qE0zm
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C
2qE0zm
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D
qE0zm
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Solution

The correct option is C 2qE0zm
The speed changes only due to electric field and hence work done is only due to the electric field. Applying kinetic energy - work theorem we get,
K=WnetKfKi=Welec12mv20=qE0zV=2qE0zm

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