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Question

If a surface has work function of 3.00 eV, the longest wavelength of light which will cause the emission of electrons is


A
4.8×107m
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B
5.99×107m
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C
4.13×107m
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D
6.84×107m
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Solution

The correct option is D $$4.13\times 10^{-7}m$$
Here the threshold wavelength is the longest wavelength of light which will cause the emission of electrons. 
We know that work function, $$W=\dfrac{hc}{\lambda_0}$$

or $$\lambda_0=\dfrac{hc}{W}=\dfrac{(6.62\times 10^{-34})\times (3\times 10^8)}{3\times 1.6\times 10^{-19}}=4.13\times 10^{-7}  m$$

Physics
NCERT
Standard XII

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