The work function of a surface of a photosensitive material is $6.2 \mathrm{eV}$. The wavelength of the…

The work function of a surface of a photosensitive material is $6.2 \mathrm{eV}$. The wavelength of the incident radiation for which the stopping potential is $5 \mathrm{~V}$ lies in the
  1. ultraviolet region
  2. visible region
  3. infrared region
  4. X-ray region

Solution

According to laws of photoelectric effect
$\mathrm{KE}_{\max }=E-\phi$
where $\phi$ is work function and $\mathrm{KE}_{\max }$ is maximum kinetic energy of photoelectron.
$\begin{array}{l}
\therefore h v=e V_0+\phi \\
\text {or } h v=5 \mathrm{eV}+6.2 \mathrm{eV}=11.2 \mathrm{eV} \\
\therefore \lambda=\left(\frac{12400}{11.2}\right) Å \approx 1000 Å
\end{array}$
Hence, the radiation lies in ultraviolet region.

Asked in: NEET 2008 (Screening)

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