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A light beam of frequency v incident on ...

A light beam of frequency `v` incident on a metal of work function `phi` ,which is kept in ,region of uniform magnetic field `vec B` .What will be greatest radius of circle traced by photo electrons

A

`(hv - phi)/( B)`

B

`sqrt(( hv - phi)/(eB))`

C

`(sqrt(( 2m ( hv - phi )))/( eB))`

D

`(sqrt ((2 mhv))/( eB))`

Text Solution

Verified by Experts

The correct Answer is:
C
From photoelectric equation,
`(1)/(2) mv _("max") ^(2) = hv - phi`
`implies mv _("max") = sqrt (2m ( hv - phi ))`
Radius of circle in uniform magnetic field,
`R = ( mv)/( q B) = (sqrt( 2 m ( hv - phi)))/( eB)`
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