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

Question

Find the wavelength of light that may excite an electron in the valence band of diamond to the conduction band. The energy gap is 5.50 eV. (A) 226 nm (B) 312 nm (C) 432 nm (D) 550 nm

Tardigrade Admin · Accepted Answer

Energy gap, Eg = (hc/λ); λ = (hc/Eg) Here, energy gap = 5.50 eV Take hc = 1240 eV nm ∴ λ = (1240 eV nm/5.5 eV) =226 nm

Q. Find the wavelength of light that may excite an electron in the valence band of diamond to the conduction band. The energy gap is $5.50 e V$ .

$226 nm$

$312 nm$

$432 nm$

$550 nm$

Energy gap, $E_{g} = \frac{h c}{λ};$
$λ = \frac{h c}{E _{g}}$
Here, energy gap $= 5.50 e V$
Take $h c = 1240 e V nm$
$∴ λ = \frac{1240 e V nm}{5.5 e V}$
$= 226 nm$

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

226nm

312nm

432nm

550nm