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Question

Two α - particles have the ratio of their velocities as 3:2 on entering the field. If they move in different circular paths, then the ratio of the radii of their paths is:


A

2:3

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B

3:2

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C

9:4

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D

4:9

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Solution

The correct option is B

3:2


Step 1:Given parameters

v1v2=32

Step 2:To Find:

The ratio of the radii of their paths

Step 3:Calculate ratio of the radii of their paths:

The lorentz force acting on the particle acts as a centripetal force.

qvB=mv2r

Hence, rV.

Here, r is the radius,v is velocity, q is charge value, B is magnetic field, and mis mass.

r1r2=v1v2=32

Hence, option(B) is correct.


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