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Question

Two particles of equal charges after being accelerated through the same potential difference enter in a uniform transverse magnetic field and describe circular paths of radii R1 and R2. Then the ratio of their respective masses (M1/M2) is

A
R1/R2
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B
(R1/R2)2
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C
(R2/R1)
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D
(R2/R1)2
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Solution

The correct option is B (R1/R2)2
From energy conservation;
qv=12Mv2 or v=2qVM .........(i)

And Bqv=Mv2R or Bq=MvR=MR2qVM=2qVMR (Using (i))

or M=B2q2R22qV=B2qR22V

MR2 ( B,q and V are same for the given two particles)

Hence, M1M2=(R1R2)2

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