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NEET 2019
Exam
NEET
Year
2019
Subject
Physics
Chapter
Dual Nature of Matter

NEET 2019 · Physics · Dual Nature of Matter

An LED is constructed from a p-n junction diode using GaAsP. The...

An LED is constructed from a p-n junction diode using GaAsP. The energy gap is 1.9eV1.9 \mathrm{eV}. The wavelength of the light emitted will be equal to

Options

  1. A10.4×10−26 m10.4 \times 10^{-26} \mathrm{~m}
  2. B654 nm654 \mathrm{~nm}
  3. C654A˚654 Å
  4. D654×10−11 m654 \times 10^{-11} \mathrm{~m}

Correct answer

B. 654 nm654 \mathrm{~nm}

Step-by-step solution

The energy of light of wavelength λ\lambda is given by E=hv=hcλ⇒λ=hcE\mathrm{E}=\mathrm{hv}=\frac{\mathrm{hc}}{\lambda} \Rightarrow \lambda=\frac{\mathrm{hc}}{\mathrm{E}}Here, h=\mathrm{h}= Planck's constant =6.63×10−34 J−sc==6.63 \times 10^{-34} \mathrm{~J}-\mathrm{s}\mathrm{c}= speed of light =3×108 m/sE==3 \times 10^8 \mathrm{~m} / \mathrm{s}\mathrm{E}= energy gap =1.9eV=1.9×1.6×10−19 J=1.9 \mathrm{eV}=1.9 \times 1.6 \times 10^{-19} \mathrm{~J} Substituting the given values in Eq. (i), we get ⇒λ=6.63×10−34×3×1081.9×1.6×10−19=6.54×10−7 m≈654 nm\begin{aligned} \Rightarrow \quad \lambda& =\frac{6.63 \times 10^{-34} \times 3 \times 10^8}{1.9 \times 1.6 \times 10^{-19}}\\ & =6.54 \times10^{-7} \mathrm{~m} \approx654 \mathrm{~nm} \end{aligned}Thus, the wavelength of light emitted from LED will be 654 nm654 \mathrm{~nm}.
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