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Question

Two particles X and Y having equal charges after being accelerated through same potential difference enter a region of uniform magnetic field and describe a circular paths of radii 'r1 and 'r2' respectively. The ratio of the mass of X to that of Y is

A
r1r2
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B
r1r2
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C
[r2r1]2
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D
[r1r2]2
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Solution

The correct option is D [r1r2]2
Radius of circular path traced by a particle r=mvBq
Kinetic energy K=12mv2=eV
r=m2v2Bq=2mKBq
Or r=2meVBq
mr2
Thus we get the ratio of masses of X to Y m1m2=[r1r2]2

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