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Question

Two particles X and Y having equal charges, after being accelerated through the same potential difference, enter a region of uniform magnetic field and describe circular paths of radii R1 and R2, respectively. The ratio of masses of X and Y is

A
(R1/R2)1/2
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B
(R2/R1)
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C
(R1/R2)2
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D
(R1/R2)
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Solution

The correct option is C (R1/R2)2
When a charge particle is allowed to move in a uniform magnetic field, then it described spiral or circular path
Centripetal force, mv2R=qvBv=(qBmR)
Hence, 2qVm=(qBm)R[V=2qVm]
R=(2mVq)1/2×1B
or, mR2[V,q and B are constant]
or, m1m2=(R1R2)2.

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