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If i^ denotes a unit vector along the incident light ray, r^ a unit vector along refracted ray into a medium of refractive index  μ and  n^ unit vector normal to the boundary of medium directed towards the incident medium, then the law of refraction is

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Important Questions on Ray Optics

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Immiscible transparent liquids A,B,C,D and E are placed in a rectangular container of glass with the liquids making layers according to their densities. The refractive index of the liquids are shown in the adjoining diagram. The container is illuminated from the side and a small piece of glass having refractive index 1.61 is gently dropped into the liquid layer. The glass piece as it descends downwards will not be visible in

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Monochromatic light is refracted from air into glass of refractive index μ. The ratio of the wavelength of the incident and refracted waves is
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A beam of light propagating at an angle α1 from a medium 1 to another medium 2 at an angle α2. If the wavelength of light in medium 1 is λ1, then wavelength of light in medium 2λ2 is
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A ray of light is incident on a glass plate of the refractive index 1.5. The angle between the reflected and refracted rays is 90°. What is the ratio of the wavelength of reflected to refracted rays?
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A beam of monochromatic blue light of wavelength 4200 in air travels in water of refractive index 43. Its wavelength in water will be
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A wave of light having frequency 4×1014 Hz and speed of light 3×108 m s-1 enters glass of R.I. 1.5. Change in wavelength is
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A thin oil layer floats on water. A ray of light making an angle of incidence of 40°shines on oil layer. The angle of refraction of light ray in water is μoil=1.45, μwater=1.33sin40°=0.6428, sin44.5°=0.7007
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The angle of a prism is A. One of its refracting surfaces is silvered. Light rays falling at an angle of incidence 2A on the first surface returns through the same path after suffering reflection at the silvered surface. The refractive index μ, of the prism is