Question

Wave number ofa specific radiation is 15200 m-1.calculate the wavelength in A^o

Answer 1

$\underline{\Large{\bf Given:-}}$

$\bull\sf Wavenumber=\overline{v}$

$\underline{\Large{\bf To\:Find:-}}$

$\bull\sf Wavelength=\lambda$

$\underline{\Large{\bf Solution:-}}$

We know that

$\boxed{\sf \overline{v}=\dfrac{1}{\lambda}}$

$\\ \sf\longmapsto 15200m^{-1}=\dfrac{1}{\lambda}$

$\\ \sf\longmapsto \lambda=\dfrac{1}{15200m^{-1}}$

$\\ \sf\longmapsto \lambda=0.0000657895$

$\\ \sf\longmapsto \lambda=9.5\times 10^{-10}$

$\\ \sf\longmapsto \lambda=9.5 Å$