If the work function of a metal is times | Atomic Structure.

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JEE MAIN 2022

28-06-2022 S1

Question

If the work function of a metal is $6.63 \times 10^{-19} \mathrm{~J}$, the maximum wavelength of the photon required to remove a photoelectron from the metal is _______ nm. (Nearest integer)
[Given : $\mathrm{h}=6.63 \times 10^{-34} \mathrm{~J} \mathrm{~s}$, and $\mathrm{c}=3 \times 10^8 \mathrm{~m} \mathrm{~s}^{-1}$ ]

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Solution

$\begin{aligned} & \phi=6.63 \times 10^{-19} \mathrm{~J}=\frac{\mathrm{hc}}{\lambda}=\frac{6.63 \times 10^{-34} \times 3 \times 10^8}{\lambda} \\ & \Rightarrow \lambda=3 \times 10^{-7} \mathrm{~m}=300 \mathrm{~nm}\end{aligned}$

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