Question

A ray of light has a wavelength of

284 nm in glass (n = 1.51). What
is its wavelength in a vacuum?

Answer 1

The wavelength in vacuum is equal to 428.8 nm.

Step-by-step explanation:

Given that,

The wavelength of light,
`\lambda=284\ nm`

The refractive index of glass, n = 1.51

We need to find the wavelength in vacuum. The relation between wavelength and refractive index is given by :

`n=(\lambda_v)/(\lambda)\\\\\lambda_v=n* \lambda\\\\\lambda_v=1.51* 284\\\\\lambda_v=428.8\ nm`

So, the wavelength in vacuum is equal to 428.8 nm.