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A forward biased p-n junction having band gap Eg emits light of wavelength λ, where λ is: 
1. Eg/hc
2. (Eg h)/c
3. hc/Eg
4. h/c Eg

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Correct Answer - Option 3 : hc/Eg

The correct answer is option 3) i.e. hc/Eg

CONCEPT:

  • Energy band: An energy band is a representation of the energy levels possessed by the electrons in an isolated atom.
  • Photon energy (E) of electromagnetic waves is given by the equation: \(E = \frac{hc}{λ}\)

Where is the speed of lightλ is the wavelength of electromagnetic wave, and is Planck's constant (6.626 × 10-34 m2 kg s-1)

CALCULATION:

Given that:

Energy of bandgap, E = Eg

The wavelength of emitted light = λ

Since light is an electromagnetic wave, its photon energy, \(E = \frac{hc}{λ}\)

Eg = \(\frac{hc}{λ}\) ⇒ λ = hc/Eg

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