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Magnetic Moment

A proton and ...

Question

A proton and an α particle enter perpendicular to a uniform magnetic field with the same speed. The ratio of the radii of their trajectories is

A

1:1

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B

1:2

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C

3:1

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D

1:4

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Solution

The correct option is B
1:2

$R_{p} = \frac{m v}{q B} R_{α} = \frac{4 m v}{2 q B} = 2 R_{p} R_{p} : R_{α} = 1 : 2$

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