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CBSE Class 12 Physics 2019 Delhi Set 1 Paper

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Question : 22 of 27
Marks: +1, -0
(a) Three photodiodes D1,D2D_1, D_2 and D3D_3 are made of semiconductors having band gaps of 2.5 eV,2 eV2.5\ \mathrm{eV}, 2\ \mathrm{eV} and 3 eV3\ \mathrm{eV} respectively. Which of them will not be able to detect light of wavelength 600 nm600\ \mathrm{nm} ?
(b) Why photo diodes are required to operate in reverse bias? Explain.
Solution:  
(a) Calculation of energy of a photon of light
(b) Identification of photodiode
Why photodiode are operated in reverse bias 1 We have
  E=hv=  hcλ\;E=h v=\;\frac{h c}{\lambda}
  =  6.63×1034×3×108600×109 J\;=\;\frac{6.63 \times 10^{-34} \times 3 \times 10^8}{600 \times 10^{-9}}\ \mathrm{J}
  =  19.89×10266×107×1.6×1019 eV\;=\;\frac{19.89 \times 10^{-26}}{6 \times 10^{-7} \times 1.6 \times 10^{-19}}\ \mathrm{eV}
  =  19.899.6 eV\;=\;\frac{19.89}{9.6}\ \mathrm{eV}
  =2.08 eV\;=2.08\ \mathrm{eV}
The band gap energy of diode D2(=2 eV)D_2(=2\ \mathrm{eV}) is less than the energy of the photon.
Hence diode D2D_2 will not be able to detect light of wavelength 600 nm600\ \mathrm{nm}.
[Note: Some student may take the energy of the photon as 2 eV2\ \mathrm{eV} and say that all the three diodes will be able is detect this right, Award them the mark for the last part of identification].
(b) A photodiode when operated in reverse bias, can measure the fractional change in carrier dominated reverse bias current with greater ease.
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