A proton and an alpha particle enter a uniform magnetic field perpendicular to their velocity, both with the same speed. The proton takes 25 µ s to complete 5 revolutions. What is the time period of revolution of the alpha particle?

PhysicsMediumHigh School (11–12)jee-main

For a charged particle moving in a magnetic field, the period of circular motion is $T = \dfrac{2\pi m}{qB}$ . It depends on the mass-to-charge ratio of the particle, not on its speed.

A proton and an alpha particle enter a uniform magnetic field perpendicular to their velocity, both with the same speed. The proton takes $25\,\mu s$ to complete 5 revolutions. What is the time period of revolution of the alpha particle?

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