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Circular Kinematics

A uniform mag...

Question

A uniform magnetic field is at right angles to the direction of motion of protons. As a result the protons describes a circular path of radius $2.5 c m$ . If the speed of the protons is doubled, then the radius of the circular path will be

A

0.5 c m

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B

2.5 c m

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C

5.0 c m

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D

7.5 c m

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Solution

The correct option is C $5.0 c m$
$R = \frac{m v}{B q}$
$R$ is proportional to $v$
if $V$ is doubled, $R$ is also doubled.

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