The wavelength of sodium light in air is 589 nm. (a) Find its frequency in air. (b) Find its wavelength in water (refractive index = 133). (c) Find its frequency in water. (d) Find its speed in water.
Given wavelength of sodium light in air is
(a)Therefore, the frequency is .
(b) Wavelength of light in a medium of refractive index is given by
.
Therefore, the wavelength of sodium light in water is
(c)Frequency of light doesn’t change due to a change in medium as both the speed of light and the wavelength of light are reduced by the same amount(). So the frequency is
.
(d)The speed of light in a medium is given by