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 * 10^(14) s^(-1)`.

Step-by-step explanation:

Given: Wavelength = 546 nm
`(1 nm = 10^(-9) m)` =
`546 * 10^(-9) m`

The relation between frequency and wavelength is as follows.

`\\u = (c)/(\lambda)`

where,

`\\u` = frequency

c = speed of light =
`3.0 * 10^(8) m/s`

`\lambda` = wavelength

Substitute the values into above formula as follows.

`\\u = (c)/(\lambda)\\= (3.0 * 10^(8) m/s)/(546 * 10^(-9) m)\\= 5.49 * 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 * 10^(14) s^(-1)`.