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In a sample of excited hydrogen atoms electrons make transition from $n = 2$ to $n = 1 .$ Emitted photons strike on a metal of work function $(ϕ) 4.2 e V .$ Calculate the wavelength (in $\overset{o}{A}$ ) associated with ejected electrons having maximum kinetic energy. $(\sqrt{174.9} = 13.2)$

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answer is 5.

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Detailed Solution

$E_{i n} = 10.2 e V, ϕ = 4.2 e V$

$K E_{\max} = 10.2 - 4.2 = 6 e V$

$∴ λ e^{-} = \sqrt{\frac{150}{6}} \overset{o}{A} = 5 \overset{o}{A}$

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