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Question

The work function of a substance is $$4eV$$. The longest wavelength of light that can cause photoelectric emission from this substance is approximate.


Solution

If $$\lambda_0$$ be the threshold wavelength and \lambdaλ be the wavelength of the incident light, the condition for photoelectron emission is $$\lambda<\lambda_0$$
Thus, the threshold wavelength is the longest wavelength for photoelectron emission.
 
So, work function: $$W=\dfrac{hc}{\lambda_0}$$
or, $$\lambda_0=\dfrac{hc}{W}=\dfrac{(6.62\times 10^{-34})(3\times 10^8)}{4\times 1.6\times 10^{-19}}=3.10\times 10^{-7} m=310\times 10^{-9} m=310 nm$$

Physics
NCERT
Standard XII

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