A sample of semiconductor has a cross sectional area of 1 cm^2 and a thickness of 0.1 cm. Determine the number of electron-hole pairs that are generated per unit volume per unit time by the uniform absorption of 1 watt of light at a wavelength of 6300 Angstrom. Assume each photon creates one electron-hole pair.
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(a)
Calculate energy of one photon.
Here is the Plank’s constant, is the velocity of light and is the wavelength.
Substitute for and .
State the conversion factor.
Calculate volume.
Here is the area of the cross section and is the thickness of the sample.
Substitute for and for .
Calculate the number of electron hole pair.
Here is the power and is the volume.
Substitute for and for
Hence the number of electron hole pair generated per unit volume per unit time is
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