Question

light of wavelength 590 nm in air enters into water . find 1.speed 2. frequency 3. wavelength of light in water .assume that frequency of light remains same in both the media and refractive index of water is 1.33

Answer 1

Frequency in air (v’) = c/ λ = (3 x 10⁸)/(590 x 10⁻⁹) => ν’ = 5.08 ×10¹⁴ Hz

Speed of light in water is related to the refractive index of water as:
v = c / μ
v = (3 x 10⁸) / 1.33 = 2.26 x 10⁸ m/s

Wavelength of light in water is given by the relation,
λ = v / v’
v = (2.26 x 10⁸) / (5 .09 x 10¹⁴) = (444.007 x 10^-9) m
= 444.01 nm
Hence, the speed, frequency, and wavelength of refracted light are 2.26 ×10⁸ m/s, 444.01 nm, and 5.09 × 10¹⁴ Hz respectively.