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Q.

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

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a

R1/R21/2

b

R2/R1

c

R1/R22

d

R1/R2

answer is C.

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Detailed Solution

12mv2=qV   or   v=2qVm Centripetal force, mv2R=qvB ∴  v=qBmR  Hence, 2qVm=qBmR or R=2mVq1/2×1B Here, V, q and B areconstant. Hence m∝R2  So,   m1m2=R1R22
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