A particle of charge ‘q’ and mass ‘m’ is moving with a velocity −vi^ v≠0 towards a large screen placed in Y-Z plane at a distance d. If there is a magnetic field B→=B0k^, the minimum value of ‘v’ for which the particle will not hit the screen is :
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a
qdB02m
b
2qdB0m
c
qdB03m
d
qdB0m
answer is D.
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Detailed Solution
To avoid the hit, radius of circular motion should be just greater than distance d. ⇒r≥d ⇒mvqB0≥d ⇒νmin=qB0dm