Question

Calculate the frequency of the green light emitted by a hydrogen atom with a wavelength of 546 nm.

Answer 1

Answer: The frequency of the green light emitted by a hydrogen atom with a wavelength of 546 nm is $5.49 \times 10^{14} s^{-1}$.

Explanation:

Given: Wavelength = 546 nm $(1 nm = 10^{-9} m)$ = $546 \times 10^{-9} m$

The relation between frequency and wavelength is as follows.

$\nu = \frac{c}{\lambda}$

where,

$\nu$ = frequency

c = speed of light = $3.0 \times 10^{8} m/s$

$\lambda$ = wavelength

Substitute the values into above formula as follows.

$\nu = \frac{c}{\lambda}\\= \frac{3.0 \times 10^{8} m/s}{546 \times 10^{-9} m}\\= 5.49 \times 10^{14} s^{-1}$

Thus, we can conclude that the frequency of the green light emitted by a hydrogen atom with a wavelength of 546 nm is $5.49 \times 10^{14} s^{-1}$.