Question

The frequency of radiation belonging to radio waves is 3 x 107
[2]
Hz. Find the wavenumber and wavelength of the radiation

Answer 1

• Frequency=v=3×10^7Hz
• Wavelength=$\lambda=?$
• wave number=$\overline{v}=?$

We know

$\boxed{\sf \lambda=\dfrac{C}{V}}$

$\\ \sf\longmapsto \lambda=\dfrac{3\times 10^8ms^{-1}}{3\times 10^7s^{-1}}$

$\\ \sf\longmapsto \lambda=1\times 10^{1}$

$\\ \bf\longmapsto \lambda=10m$

Now

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

$\\ \sf\longmapsto \overline{v}=\dfrac{1}{10}$

$\\ \sf\longmapsto \overline{v}=10^{-1}m^{-1}$