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CUET · PHYSICS · PYQ PAPER 2023

The semiconductor used for fabrication of visible LEDs must at least have a band gap of :

  1. A \( 1.4 \text{ eV} \)
  2. B \( 1.8 \text{ eV} \)
  3. C \( 2.4 \text{ eV} \)
  4. D \( 3.0 \text{ eV} \)
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Answer & Solution

Correct Answer

(B) \( 1.8 \text{ eV} \)

Step-by-step Solution

Detailed explanation

\( E_g \ge E_{\text{photon}} = \frac{hc}{\lambda} \) \( E_{\text{min,visible}} = \frac{1240 \text{ eV} \cdot \text{nm}}{700 \text{ nm}} \approx 1.77 \text{ eV} \) Thus, \( E_g \ge 1.77 \text{ eV} \). The smallest option satisfying this condition is \( 1.8 \text{ eV} \).
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