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Two thin converging lenses of focal lengths 20 cm and 40 cm are placed in contact. Find the effective power of the combination.

Important Questions on Ray Optics

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A ray of light strikes a glass plate at an angle of 60°. If the reflected and the refracted rays are perpendicular to each other, find the index of refraction of glass.
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In the displacement method, the distance between the object and the screen is 70 cm and the focal length of the lens is 16 cm, find the separation between the magnified and diminished image position of the lens.
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The angle of incidence is 45° in the condition of minimum deviation for a prism of refracting angle 60°. Find the angle of deviation.
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A light ray is an incident normally on the surface AB of a prism of refracting angle 60°. If the light ray does not emerge from AC, then find the refractive index of the prism.

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Calculate the refractive index of the material of an equilateral prism for which the angle of minimum deviation is π3 radian.
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A ray of light passing through a prism having μ=2 suffers minimum deviation. It is found that the angle of incidence is double the angle of refractive within the prism. Find the angle of the prism.
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The angle of minimum deviation measured with a prism is 30° and the angle of the prism is 60°. Find the refractive index of the material of the prism.
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A ray of the incident at 15° on a refracting surface of a prism of angle 30° suffers a deviation of 55°. Find the angle of emergence.