Question

Calculate the wave number and frequency of radiation having wavelength $5800\lambda .$
$\left(172400c{m}^{-1},5.172\times {10}^{14}\text{cycles}{s}^{-1}\right)$

Answer 1

$v=\left(\frac{c}{\lambda }\right)=\left(\frac{3\times {10}^8}{58\times 100\times {10}^{-10}}\right)=\frac{3\times {10}^{16}}{58}$

$=\frac{0.051\times {10}^{16}}{{10}^{10}}$

$k=\left(\frac{2\pi }{\lambda }\right)=\left(\frac{2\pi }{5800}\right)$

$=1.08\times {10}^7$