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  4. To find the radius of a circular path of an electron, when subjected to a perpendicular magnetic field is:

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Q. To find the radius of a circular path of an electron, when subjected to a perpendicular magnetic field is:

VMMC MedicalVMMC Medical 2002

Solution:

Centripetel force $ =\frac{m{{\upsilon }^{2}}}{r} $ and force on a moving electron in the magnetic field $ =Be\upsilon $ Hence, $ \frac{m{{\upsilon }^{2}}}{r}=Be\,\upsilon $ or $ r=\frac{m\upsilon }{Be} $ (Here, r is the radius of circular path)