Q.

A proton and an α-particle 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 paths described by them will be

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a

1:2

b

1:3

c

1 : 3

d

1 : 2

answer is A.

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Detailed Solution

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r=mvBq=m(2qV/m)Bq rmqrprα=mpmα×qαqp =14×21=22=12

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