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The focal length of the eyepiece and the objective of an astronomical telescope are 4 cm and 50 cm respectively. The length of the telescope for the adjustment in which eye is most strained will be about [least distance of distinct vision is 25 cm]

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Important Questions on Ray Optics and Optical Instruments

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Light takes time t1 to travel a distance a in medium (1) and takes time (t2) to travel a distance b in a medium (2). The critical angle for the pair of medium is [medium (2) is denser than medium (1) ].
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Diameter of plano-convex lens is 6 cm  and thickness at the centre is 3 mm . If speed of light in material of lens is 2×108 m s-1, the focal length of the lens is-

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A spherical convex surface of radius of curvature 29 m separates two media of refractive index 43 and 32. If an object is kept in first medium at infinity then the position of image from spherical surface is
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One face of prism with refracting angle 37° is coated with silver. A light ray incident on other face at angle 60° is refracted and reflected back from the silver coated face such that it retraces its path. The refractive index of prism is
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A point object is moving with speed 8 cm/s in front of a converging lens along the principle axis as shown in figure. At this instant speed of image is

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A compound microscope has an objective of focal length 2 cm and an eye-piece of focal length 5 cm. An object is placed at a distance 2.4 cm in front of objective lens. If final image forms at infinity then magnifying power and corresponding tube length of microscope are respectively
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A double convex lens of refractive index 32 has radii of 30 cm. Incident rays of light parallel to principal axis will come to converge at a distance from the lens is