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A certain metallic surface is illuminate...

A certain metallic surface is illuminated with monochromatic light of wavelength `lambda`. The stopping potential for photoelectric current for this light is `3V_(@)`. If the same surface is illuminated with light of wavelength `2lambda`, the stopping potential is `V_(0)`. The threshold wavelength for this surface for photoelectric effiect is

A

`6lambda`

B

`4lambda`

C

`(4lambda)/(3)`

D

`8lambda`

Text Solution

Verified by Experts

The correct Answer is:
B
Einstein's photoelectric equation : `(hc)/(lambda)=e (3V_(0))+W`……(1), here W= work function, and `(hc)/(2lambda)=e (V_(0))+W`…..(2), solving these equations `implies (hc)/(lambda)=(3hc)/(2lambda)+W-3W`, `implies 2W=(hc)/(2lambda)`, `(hc)/(lambda_(0))=(hc)/(4lambda)`, `implies =4lambda` when `lambda_(0)`=threshold wavelength.
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