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Question: Find the wavelength of light that may excite an electron in the valence band of diamond to the condu...

Find the wavelength of light that may excite an electron in the valence band of diamond to the conduction band. The energy gap is 5.50eV5.50eV

A

226 nm

B

312 nm

C

432 nm

D

550 nm

Answer

226 nm

Explanation

Solution

: Energy gap, Eg=hcλE_{g} = \frac{hc}{\lambda} $$\lambda = \frac{hc}{E_{g}}

Here, energy gap=5.50eV= 5.50eV

Take hc=1240eVnmhc = 1240eVnm

λ=1240eVnm5.5eV=226nm\therefore\lambda = \frac{1240eVnm}{5.5eV} = 226nm