Question

Yellow light emitted from sodium lamp has a wavelength of 580 nm calculate the frequency and wavenumber of a yellow light

Answer 1

Answer is mentioned in the attachment.... Hope it helps ☺️

Answer 2

Explanation:

It is given that,

Wavelength of the yellow lamp, $\lambda=580\ nm=580\times 10^{-9}\ m$

Let f is the frequency of the yellow light. The relationship between the frequency and wavelength is given by :

$c=f\times \lambda$

$f=\dfrac{c}{\lambda}$

$f=\dfrac{3\times 10^8}{580\times 10^{-9}}$

$f=5.17\times 10^{14}\ Hz$

The wave number is the reciprocal of wavelength. It is given by :

$\bar{\lambda}=\dfrac{1}{\lambda}$

$\bar{\lambda}=\dfrac{1}{580\times 10^{-9}}$

$\bar{\lambda}=1.72\times 10^6\ m^{-1}$

Hence, this is the required solution.