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A photoelectric surface is illuminated s...

A photoelectric surface is illuminated successively by monochromatic ligth of wavelength `lambda and (lambda)/(2)`. If the maximum kinetic energy of the emitted photoelectrons in the second case is 3 times that in the first case, the work function at the surface of material is........................

A

`(hc)/(lambda)`

B

`(2hc)/(lambda)`

C

`(hc)/(3 lambda)`

D

`(hc)/(2 lambda)`

Text Solution

Verified by Experts

The correct Answer is:
D
`KE_(1) = (hc)/(lambda) - phi" "…(1)`
`3KE_(1) = (2hc)/(lambda) - phi`
`KE_(1) = (2hc)/(3 lambda) - (phi)/(3)" "…(2)`
Equating (1) and (2)
`(hc)/(lambda) - phi" "= (2hc)/(3 lambda) - (phi)/(3)`
`(hc)/(3 lambda) = (2 phi)/(3) rArr phi = (hc)/(2 lambda)`
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