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Question

An α particle and a proton travel with same velocity in a magnetic field perpendicular to the direction of their velocities. Find the ratio of the radii of their circular paths.

A
4:1
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B
1:4
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C
2:1
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D
1:2
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Solution

The correct option is B 2:1
As r=mvBq
Hence, rαrp=mαmp×qpqa
We know, mα=4mp and qα=2qp
rαrp=(41)×(12)=21=2:1

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