First slide

Diodes

Question

An LED is constructed from a p-n junction based on a certain Ga-As-P semiconducting material whose energy gap is 1.9 eV. What is the wavelength of the emitted light in nm?

Moderate

Solution

$E n e r g y g a p o f s e m i c o n d u c t o r : E_{g} = \frac{h c}{λ}$
$∴ W a v e l e n g t h o f e m i t t e d l i g h t : λ = \frac{h c}{E_{g}} = \frac{6.6 \times 10^{- 34} \times 3 \times 10^{8}}{1.9 \times 1.6 \times 10^{- 19}} m$
$\Rightarrow λ = 6.5 \times 10^{- 7} m = 650 n m$

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