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An electron and a proton, both having th...

An electron and a proton, both having the same kinetic energy, enter a region of uniform magnetic field, in a plane perpendicular to the field. If their masses are denoted by `m_(e)` and `m_(p)` respectively, then the ratio of the radii (electron to proton) of their circular orbits is

A

`sqrt((m_(p))/(m_(e)))`

B

`sqrt((m_(e))/(m_(p)))`

C

`(m_(e))/(m_(p))`

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Since , `r = (sqrt(2mk))/(qB) implies r prop sqrtm`
`implies (r_(e))/(r_(p)) = sqrt((m_(e))/(m_(p)))`
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