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Question

A proton, deutron and an α-particle enter a magnetic field perpendicular to field with same velocity. What is the ratio of the radii of circular paths?

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

The correct option is A 1 : 2 : 2
Force on a charged particle due circular motion: F=mv2r

Force on a charged particle due to magnetic field: FB=qvB

F=FBmv2r=qvBr=mvqB

Here v and are constant.

rmq

For proton: rp=1×k

For deutron: rd=2k

For an-α particle: rα=2k

Therefore, rp:rd:rα=1:2:2

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