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Consider an LED based on a direct bandgap semiconductor material with energy bandgap $1.3$ eV.

Given: Plank's constant, $h=6.63 \times 10^{-34} \mathrm{~J} \mathrm{~s}$ and speed of light in free space is $3 \times 10^{8} \mathrm{~m} \mathrm{~s}^{-1}$.

In which of the following wavelength ranges the LED will NOT emit?

  1. $1410 \pm 20 \mathrm{~nm}$
  2. $1090 \pm 20 \mathrm{~nm}$
  3. $950 \pm 20 \mathrm{~nm}$
  4. $510 \pm 20 \mathrm{~nm}$

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