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Q.

A certain metallic surface is illuminated with monochromatic light of wavelength λ. The stopping potential for photoelectric current for this light is 3V0 . If the same surface is illuminated with light of wavelength 2λ, The stopping potential is V0. The Threshold wavelength for this surface for photoelectric effect is

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a

4λ

b

λ4

c

λ6

d

6λ

answer is A.

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Detailed Solution

eVs=hcλ−Ψ

3 eVo=hcλ−Ψ

eVo=hc2λ−Ψ

3 eVo2=3 hc2λ−3Ψ

substructing both the equations

Ψ=hc4λ

So λth=hcΨ=hchc/4λ=4 λ

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