An electron is shot in a steady electric and magnetic field such that its velocity is V. Electric field E and magnetic field B are mutually perpendicular. The magnitude of E is 1volt/cm and that of B is 2tesla. Now it happens that the Lorentz (Magnetic) force cancels with the electrostatic force on the electron , then the velocity of the electron is:

2cms−1

50ms−1

0.5cms−1

200ms−1

A

2cms−1

B

0.5cms−1

C

50ms−1

D

200ms−1

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Solution

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∵ magnetic force cancels with the electrostatic force, so qE=qvB or, V=EB=1002=50ms−1

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