17. A slab of intrinsic GaAs, 3 cm long, 2 cm wide, and 0.3 cm thick is illuminated by a monochromatic light beam, at which frequency the absorption coefficient is 500 cm The intensity of the beam is 5 x 10 Wcm, and the sample is at room temperature. a) Calculate the photon flux incident on the slab. b) At what depth does the intensity decrease to 5% of its value at the surface? c) Calculate the number of electron-hole pairs created per second in the slab. (Assume that the beam entering is totally absorbed through fundamental transition.) d) Calculate the increase in the conductivity Ao due to the illumination. Take the recombination time to be 2 x 10 s. [Data: The dielectric constant of GaAs is 10.4].

17. A slab of intrinsic GaAs, 3 cm long, 2 cm wide, and 0.3 cm thick is illuminated by a monochromatic light beam, at which frequency the absorption coefficient is 500 cm The intensity of the beam is 5 x 10 Wcm, and the sample is at room temperature. a) Calculate the photon flux incident on the slab. b) At what depth does the intensity decrease to 5% of its value at the surface? c) Calculate the number of electron-hole pairs created per second in the slab. (Assume that the beam entering is totally absorbed through fundamental transition.) d) Calculate the increase in the conductivity Ao due to the illumination. Take the recombination time to be 2 x 10 s. [Data: The dielectric constant of GaAs is 10.4].

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Wien's displacement law

Students often get confused between Wien's displacement law and Planck's radiation law. Although both are historically related, yet they are conceptually different. Planck's law helps determine the spectrum of a blackbody, while Wien's law determines the relationship between peak wavelength and temperature.

Question

17. A slab of intrinsic GaAs, 3 cm long, 2 cm wide, and 0.3 cm thick is illuminated by a
monochromatic light beam, at which frequency the absorption coefficient is 500 cm .
The intensity of the beam is 5 x 10 W cm, and the sample is at room temperature.
a) Calculate the photon flux incident on the slab.
b) At what depth does the intensity decrease to 5% of its value at the surface?
c) Calculate the number of electron-hole pairs created per second in the slab.
(Assume that the beam entering is totally absorbed through fundamental
transition.)
d) Calculate the increase in the conductivity Ao due to the illumination. Take the
recombination time to be 2 x 10 s. [Data: The dielectric constant of GaAs is
10.4].

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