Question -
Answer -
Wavelength of incidentmonochromatic light,
λ = 589nm = 589 × 10−9 m
Speed oflight in air, c = 3 × 108 m/s
Refractiveindex of water, μ = 1.33
(a) The ray will reflect back in thesame medium as that of incident ray. Hence, the wavelength, speed, andfrequency of the reflected ray will be the same as that of the incident ray.
Frequencyof light is given by the relation,
Hence, the speed, frequency, andwavelength of the reflected light are 3 × 108 m/s,5.09 ×1014 Hz, and 589 nmrespectively.
(b) Frequency of light does not depend onthe property of the medium in which it is travelling. Hence, the frequency ofthe refracted ray in water will be equal to the frequency of the incident orreflected light in air.
Refracted frequency, ν = 5.09 ×1014 Hz
Speed oflight in water is related to the refractive index of water as:
Wavelength of light in water isgiven by the relation,
Hence, the speed, frequency, andwavelength of refracted light are 2.26 ×108 m/s,444.01nm, and 5.09 × 1014 Hzrespectively.