A ray of light of wavelength 6600 Å suffers refraction from air to glass. Taking _aμ_g = 3/2, find the wavelength of light in glass.

As we know that,

${}_{\text{a}}{\text{μ}}_{\text{g}}={\displaystyle \frac{\text{wavelength of light in air}}{\text{wavelength of light in glass}}}${\text{a}}\text{μ}{\text{g}} = \dfrac{\text {wavelength of light in air}}{\text {wavelength of light in glass}} \\[0.5em]

Given,

Refractive index of glass with respect to air is given by _aμ_g = $\dfrac{3}{2}$

Wavelength of light in air = 6600 Å

Substituting the values in the formula above we get,

$\dfrac{3}{2} = \dfrac{\text {wavelength of light in air}}{\text{wavelength of light in glass}} \\[0.5em] \dfrac{3}{2} = \dfrac{6600}{\text {wavelength of light in glass}} \\[0.5em] \text {wavelength of light in glass} = \dfrac{6600}{\dfrac{3}{2}} \\[0.5em] \text {wavelength of light in glass} = 6600 \times \dfrac{2}{3} \\[0.5em] \text {wavelength of light in glass} = 4400 \\[0.5em]$

Hence, wavelength of light in glass = 4400 Å