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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)2From energy conservation;qv=12Mv2 or v=√2qVM .........(i)And Bqv=Mv2R or Bq=MvR=MR√2qVM=√2qVMR (Using (i))or M=B2q2R22qV=B2qR22V∴M∝R2 (∴ B,q and V are same for the given two particles)Hence, M1M2=(R1R2)2

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