The two particles X and Y, having equal charge, 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
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a
R1/R2
b
(R1/R2)2
c
(R1/R2)
d
(R2/R1)
answer is B.
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Detailed Solution
12mv2=qV or v=2qVmIn magnetic fieldmv2R=qvBor mvR=qB or mR×2qVm=qBor mR=qB2qV=q⋅B2V= constant ∴ mXMY=R1R22
The two particles X and Y, having equal charge, 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