Question

Monochromatic light is refracted from air (${\mu }_a=1$) into a glass slab of refractive index $\mu$. The ratio of the wavelength of the incident and the refracted light wave is $\frac{\mu }{1}$.

• A. True
• B. False

Answer 1

The correct option is A True

Refractive index of glass = $\mu$

Refractive index of air = ${\mu }_a$

$\frac{{\mu }_a}{\mu }=\frac{v_g}{v_a}$

We know that $\text{velocity}=\text{frequency}\times \text{wavelength}$. In any medium, the frequency does not change since it depends on source.

Therefore, we can say that velocity is directly proportional to wavelength.

$\therefore$ $\frac{{\mu }_a}{\mu }$ = $\frac{{\lambda }_g}{{\lambda }_a}$

The ratio of the wavelength of the incident and the refracted ray is $\frac{{\lambda }_a}{{\lambda }_g}$ = $\frac{\mu }{1}$