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Monochromatic light of wavelength 600 nm is incident from the air on a water surface. The refractive index of water is 1.33. Find the wavelength, frequency and speed, of reflected and refracted light. - Physics

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प्रश्न

Monochromatic light of wavelength 600 nm is incident from the air on a water surface. The refractive index of water is 1.33. Find the

  1. wavelength,
  2. frequency and
  3. speed, of reflected and refracted light.
संख्यात्मक
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उत्तर

Given: λ = 600 nm, µ = 1.33

(i) In reflection, the ray will reflect back in the same medium as that of the incident ray.

Hence, wavelength (λ) = 600 nm

(ii) Frequency = υ = `"c"/λ = (3 xx 10^8)/(600 xx 10^-9)`

= 0.5 × 1015 Hz

(iii) Speed = 3 × 108 ms−1

In refraction, the speed and wavelength change while the frequency remains the same.

Hence, speed = ν = `"c"/µ = (3 xx 10^8)/(1.33)`

= 2.26 × 108 ms−1

Wavelength = λ = `ν/υ`

= `(2.26 xx 10^8)/(0.5 xx 10^15)`

= 4.52 × 10−7 m

= 452 nm

Frequency = υ = 0.5 × 1015 Hz

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Refraction of Monochromatic Light
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2021-2022 (March) Term 2 - Outside Delhi Set 2

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