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Question

A proton and an electron travelling along parallel paths enter a region of uniform magnetic field, perpendicular to their paths. Which of them will move in a circular path with higher frequency?

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Solution

When a charge particle enters a region of uniform magnetic field, perpendicular to their paths, they move in a circular path.

And the time period of their motion is given by
T=2πmqB
But, f=1T
f=qB2πm

Since B and q is same for electron and proton,
so f1m

Since mass of electron is smaller than that of proton, hence it will have higher frequency.

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