First slide

Force on a charged particle moving in a magnetic field

Question

A proton and an $α$ -particle enter a uniform magnetic field moving with the same speed. If the proton takes 25 $μ$ s to make 5 revolutions, then the periodic time for the $α$ -particle would be

Easy

A

50 $μ$ s
B

20 $μ$ s
C

10 $μ$ s
D

5 $μ$ s

Solution

$T = \frac{2 π m}{q B} \Rightarrow \frac{T_{p}}{T_{α}} = \frac{m_{α}}{q_{α}} \times \frac{q_{p}}{m_{p}}$

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