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Question

A p-type semiconductor has acceptor level 57 meV above the valence band. Find the maximum wavelength of light which can create a hole.

A
4.36×103 m
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B
4.36×105 m
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C
2.18×103 m
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D
2.18×105 m
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Solution

The correct option is D 2.18×105 m
Since, the acceptor level is 57 meV above the valence band, at least 57 meV is needed to create a hole.

Let the λ be the wavelength of light, then photon will have energy, E=hcλ

So, to create a hole, hcλ57 meV

λhc57 meV

We know,
h=6.626×1034 Js
c=3×108 ms1
1 eV=1.6×1019 J

λ6.626×1034×3×10857×103×1.6×1019

λ2.179×105 m2.18×105 m

λmax=2.18×105 m

Hence, option (D) is correct.

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