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

Options

A. 412 nm
B. 352 nm
C. 225 nm
D. 315 nm

Answer

C

Explanation

Energy gap `(E_(g))=hv=(hc)/(lambda)`
and `E_(g)=5.5eV=5.5cc1.6xx10^(-19)J`
`:.lambda=(hc)/(E_(g))`
`=(6.6xx10^(-34)xx3xx10^(8))/(5.5xx1.6xx10^(-9))`
`=(6xx3xx10^(-34+8+19))/(5xx1.6)=(18)/(8)xx10^(-7)`
`=2.25xx10^(-7)m=225xx10^(-9)m=225nm`