Q100 / 110 · VITEEE 2023 · Physics

What is the maximum wavelength of photon that would excite an electron in the valence band of diamond to the conduction band? The energy gap for diamond is \(5.5 \mathrm{eV}\) :

  • Correct answer
    A
    \(169 \mathrm{~nm}\)
  • B
    \(205 \mathrm{~nm}\)
  • C
    \(226 \mathrm{~nm}\)
  • D
    \(350 \mathrm{~nm}\)

Solution

\(\begin{aligned} & \lambda=\frac{\mathrm{h}}{\sqrt{2 \mathrm{mK}}} \\ = & \frac{6.63 \times 10^{-34}}{2 \times 9.1 \times 10^{-31} \times 5.5 \times 1.6 \times 10^{-16}} \\ = & 169 \mathrm{~nm} \end{aligned}\)

Hence, the correct answer is option: 'A'.

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