Question

A ray of wavelength $5400\mathring{A}$ suffers refraction from air to glass. Taking ${}_a{\mu }_g=3/2$, find the wavelength of light in glass.

Answer 1

Given, refractive index of glass w.r.t. air.

${}_a{\mu }_g=\frac{3}{2}$

Also, ${}_a{\mu }_g$ = (wavelength of light in air) / (wavelength of light in glass)

$\therefore \frac{3}{2}$ = (wavelength of light in air) / (wavelength of light in glass)

$\Rightarrow \frac{3}{2}$ = $5400\mathring{A}$ / wavelength of light in glass

$\Rightarrow$ Wavelength of light in glass $=\frac{2}{3}\times 5400\mathring{A}=3600\mathring{A}$