Question

A monochromatic light of wavelength 589 nm is incident from air on a water surface, what are the wavelength, frequency and speed is of refracted light? the refractive index of water is 1.33.

Answer 1

Wavelength of incident light $\lambda =589nm=589\times {10}^{-9}m$

Speed of light in air $c=3\times {10}^{8}m/s$

$\mu =1.33$

Frequency

$\nu =\frac{c}{\lambda }$

$=\frac{3\times {10}^8}{589\times {10}^{-9}}$

$=5.09\times {10}^{14}Hz$

Velocity

$v=\frac{c}{\mu }$

$v=\frac{3\times {10}^8}{1.33}$

$v=2.25\times {10}^{8}m/s$

Wavelength

$\lambda =\frac{v}{\nu }$

$=\frac{2.25\times {10}^8}{5.09\times {10}^{14}}$

$=444nm$