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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 the mass of X to that of 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
12mv2=qVorv=2qVm
Centripetal force, mv2R=qvBv=(qBm)R
2qVm=(qBm)RR=(2mVq)1/2×1B
Here V,q,B are constant. Hence mR2
o, m1m2=(R1R2)2

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