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An LED made of Ga-As operates at a wavelength of 0.86 μm. The surrounding medium is air. The relative permittivity of Ga-As is 12.9. The external quantum efficiency of LED is
1. 2.31%
2. 23.1%
3. 13.1%
4. 1.31%

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Correct Answer - Option 4 : 1.31%

The external quantum efficiency is defined as:

\({\eta _e} = \frac{1}{{4{n^2}}}\frac{{4n}}{{{{\left( {n + 1} \right)}^2}}} = \frac{1}{{n{{\left( {n + 1} \right)}^2}}}\)

where n is the permittivity of the material.

\(n = \sqrt {{\epsilon_0}{\epsilon_r}} = \sqrt {12.9}\)

= 3.59

\(\% {\eta _e} = \frac{1}{{3.59{{\left( {3.59 + 1} \right)}^2}}} \times 100 = 1.31\%\)

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