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`        Monochromatic light of wavelength 589nm incident from air on a water surface. What are the wavelength ,frequency,and speed of reflected and refracted light. Refractive index of water is 1.33.`
one year ago

```							Wavelength of incident monochromatic light,λ = 589 nm = 589 × 10−9 mSpeed of light in air, c = 3 × 108 m/sRefractive index of water, μ = 1.33(a) The ray will reflect back in the same medium as that of incident ray. Hence, the wavelength, speed, and frequency of the reflected ray will be the same as that of the incident ray.Frequency of light is given by the relation,v = c / λ   = 3 x 108 / 589 x 10-9   = 5 .09 x 1014 HzHence, the speed, frequency, and wavelength of the reflected light are 3 × 108 m/s, 5.09 ×1014 Hz, and 589 nm respectively. (b) Frequency of light does not depend on the property of the medium in which it is travelling. Hence, the frequency of the refracted ray in water will be equal to the frequency of the incident or reflected light in air.So Refracted frequency, ν = 5.09 ×1014 HzSpeed of light in water is related to the refractive index of water as:v = c / μv =  3 x 108 / 1.33 = 2.26 x 108 m/s  Wavelength of light in water is given by the relation, λ = v / vv =  2.26 x 108 / 5 .09 x 1014 = 444.007 x 10-9 m   = 444.01 nmHence, the speed, frequency, and wavelength of refracted light are 2.26 ×108 m/s, 444.01nm, and 5.09 × 1014 Hz respectively  RegardsArun (askIITians forum expert)
```
one year ago
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