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Question

A proton and an α particle (with their masses in the ratio of 1:4 and charges in the ratio of 1:2) are accelerated from rest through a potential difference V. If a uniform magnetic field (B) is set up perpendicular to their velocities, the ratio of the radii rp:rα of the circular path described by them will be :

A
1:2
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B
1:2
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C
1:3
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D
1:3
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Solution

The correct option is A 1:2
KE=qΔV

r=2mqΔVqB

rmq

rpr=12

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