An LED is constructed from a p-n junction diode using GaAsP. The energy gap is 1.9 eV. The wavelength of the light emitted will be equal to

  1. 654 Å
  2. 654 × 10−11 m
  3. 10.4 × 10−26 m
  4. 654 nm

Answer (Detailed Solution Below)

Option 4 : 654 nm
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Detailed Solution

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CONCEPT:

The wavelength is written as;

\(λ = \frac{hc}{E_g}\)

Here we have \(λ\) is the wavelength, h is Planck's constant, c is the velocity of light and Eg is the energy band gap.

CALCULATION:

Given: The energy band gap, Eg = 1.9 eV

The photon energy in eV using the wavelength in μm, the equation is approximately

\(E (eV) = \frac{1.240}{\lambda (μ m)}\ \)

Now, on putting the given values we have;

\(λ = \frac{1.24}{1.9} \ μ m\)

⇒λ = 0.6526 μm 

λ ≈ 652.6 nm

Hence, option 4) is the correct answer.

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