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Circular Kinematics

Two particles...

Question

Two particles A and B of masses $m_{A}$ and $m_{B}$ respectively and having the same charge are moving in a plane. A uniform magnetic field exists perpendicular to this plane. The speeds of the particles are $v_{A}$ and $v_{B}$ respectively, and the trajectories are as shown in the figure. Then

A

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B

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C

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D

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Solution

The correct option is B
$r = \frac{m v}{q B} \Rightarrow r \propto m v$ (q and B are constant)
$∵ r_{A} > r_{B} \Rightarrow m_{A} v_{A} > m_{B} v_{B}$

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