A proton and an α-particle enter a uniform magnetic field perpendicularly with the same speed. If proton takes 25 μs to make 5 revolutions, then the periodic time for the α-particle would be
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a
50 μs
b
25 μs
c
10 μs
d
5 μs
answer is C.
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Detailed Solution
Time period of proton, Tp=255=5μs∵T=2πmqB⇒TαTp=mαmp×qpqα=4mpmp×qp2qp⇒ Tα =2TP = 10 μs