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Question: Answered & Verified by Expert
The photoelectric threshold wavelength for silver is $\lambda_{0}$. The energy of the electron ejected from the surface of silver by an incident wavelength $\lambda\left(\lambda < \lambda_{0}\right)$ will be
PhysicsDual Nature of MatterKCETKCET 2011
Options:
  • A $h c\left(\lambda_{0}-\lambda\right)$
  • B $\frac{h c}{\lambda_{0}-\lambda}$
  • C $\frac{h}{c}\left(\frac{\lambda_{0}-\lambda}{\lambda \lambda_{0}}\right)$
  • D $h c\left(\frac{\lambda_{0}-\lambda}{\lambda \lambda_{0}}\right)$
Solution:
1402 Upvotes Verified Answer
The correct answer is: $h c\left(\frac{\lambda_{0}-\lambda}{\lambda \lambda_{0}}\right)$
$$
\begin{aligned}
E &=W+\mathrm{KE} \\
\mathrm{KE} &=E-W \\
&=\frac{h c}{\lambda}-\frac{h c}{\lambda_{0}} \\
&=h c\left[\frac{1}{\lambda}-\frac{1}{\lambda_{0}}\right]=h c\left[\frac{\lambda_{0}-\lambda}{\lambda_{0}}\right]
\end{aligned}
$$

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