Question

Calculate energy of radiation whose wave number is 1.0 cm${}^{\text{- 1}}$ in terms of J per photon.

Answer 1

Wave number$=k=\frac{2\pi }{\lambda }=1{cm}^{-1}$

$\frac{2\pi }{\left(\frac{1}{cm}\right)}=\lambda$

$\lambda =\left(2\pi \right)cm$

E$=\frac{hc}{\lambda }$

$=\frac{hc}{2\pi cm}$

$=3.16\times {10}^{-24}\frac{J}{photon}$