Light of wavelength 590nm in air enters into water. Find (1) speed (2) frequency (3)wavelength of light in water. Assume that frequency of light remain same in both the media and reflective index of water is 1.33.???
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Frequency in air (v’) = c/ λ = (3 x 10^8)/(590 x 10^-9) => ν’ = 5.08 ×10^14 Hz
Speed of light in water is related to the refractive index of water as:
v = c / μ
v = (3 x 10^8) / 1.33 = 2.26 x 10^8 m/s
Wavelength of light in water is given by the relation,
λ = v / v’
v = (2.26 x 10^8) / (5 .09 x 10^14) = (444.007 x 10^-9) m
= 444.01 nm
Hence, the speed, frequency, and wavelength of refracted light are 2.26 ×10^8 m/s, 444.01 nm, and 5.09 × 10^14 Hz respectively.
Speed of light in water is related to the refractive index of water as:
v = c / μ
v = (3 x 10^8) / 1.33 = 2.26 x 10^8 m/s
Wavelength of light in water is given by the relation,
λ = v / v’
v = (2.26 x 10^8) / (5 .09 x 10^14) = (444.007 x 10^-9) m
= 444.01 nm
Hence, the speed, frequency, and wavelength of refracted light are 2.26 ×10^8 m/s, 444.01 nm, and 5.09 × 10^14 Hz respectively.
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