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The ray diagram for a prism whose one surface is reflecting is as shown. The value of θ will be

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Important Questions on Ray Optics and Optical Instruments

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The refractive index of the material of a prism is 2 and its refracting angle is 30. One of the refracting surfaces of the prism is made a mirror inwards. A beam of monochromatic light, entering the prism from the other face, will retrace its path after reflection from the mirrored surface, if its angle of incidence on the prism is
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A light ray is incident perpendicularly to one face of a right angled prism and is totally internally reflected at the glass-air interface. If the angle of reflection is 45°, we conclude that the refractive index μ is

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Refractive index of water is 53. A light source is placed in water at a depth of 4 m.  What must be the minimum radius of a disc placed on the water surface, so that the light from the source can be stopped?
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A light ray from air is incident (as shown in figure) at one end of a glass fiber (refractive index, μ =1.5), making an incidence angle of  60 on the lateral surface, so that it undergoes total internal reflection. How much time would it take to traverse the straight fiber of length 1 km?

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In the figure shown, for an angle of incidence 45° at the top surface, what should be the minimum refractive index needed for total internal reflection at vertical face?

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A ray of light is incident at an angle i from denser to the rarer medium: The reflected and the refracted rays are mutually perpendicular. If the angle of reflection and the angle of refraction are r and r' respectively, then the critical angle will be 

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A ray of light is incident at an angle of 45 from air to a glass slab at point A, the angle of incidence being 45. The minimum value of the refractive index of the material of the slab so that TIR takes place at B is

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In the figure, ABC is the cross section of a right angled prism and BCDE is the cross section of a glass slab. The value of θ so that light incident normally on the face AB does not cross the face BC is Given: sin-135 = 37°
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