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Question

Find the maximum wavelength of electromagnetic radiation which can create a hole - electron pair in germanium. The band gap in germanium is 0.65 eV.
(hc=1242 eV nm)

A
1.9×106 m
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B
2.5×104 m
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C
1.9×104 m
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D
2.5×106 m
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Solution

The correct option is A 1.9×106 m
Given, E=0.65 eV

For the electron-hole pair creation, the energy of the radiation should be at least equal to the band gap of the material.

E=hcλ

λ=hcE=1242 eV nm0.65 eV

λ=1910.7 nm=1910.7×109 m

λ=1.9×106 m

Hence, option (A) is correct.

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