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This section covers the principles of refraction, critical angles, minimum deviation, and the behavior of optical systems involving prisms and lenses. Understanding the relationships between angles, refractive indices, a…
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For no TIR to take place, a prism can have a maximum refracting angle of (θc = critical angle for the material of prism)
θc
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A ray of light is incident at small angle I on the surface of prism of small angle A and emerges normally from the opposite surface. If the refractive index of the material of the prism is μ, the angle of incidence is nearly equal to
A/μ
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The refractive angle of a prism is A, and the refractive index of the material of the prism is cot(A/2). The angle of minimum deviation is
180° - 2A
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The focal length of a combination of two lenses is doubled if the separation between them is doubled. If the separation is increased to 4 times, the magnitude of focal length is (as compared to original)
quadrupled
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An optical system consists of a thin convex lens of focal length 30 cm and a plane mirror placed 15 cm behind the lens. An object is placed 15 cm in front of the lens. The distance of the final image from the object is
60 cm
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For refraction through a small angled prism, the angle of minimum deviation
increases with increase in refractive index of a prism
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A prism has refractive index √(3/2) and refractive angle 90°. Find the minimum deviation produced by prism
30°
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When a white light passes through a hollow prism, then
There is no dispersion and no deviation.
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An object, a convex lens of focal length 20 cm and a plane mirror are arranged as shown in the figure. How far behind the mirror is the second image formed from the mirror?
30 cm
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