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A convex mirror has a focal length f. A real object is placed at a distance of f2 from the pole. Find out the position, magnification and nature of the image.

Important Questions on Ray Optics

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A small candle, 2.5 cm in size is placed at 27 cm in front of a concave mirror of radius of curvature 36 cm. At what distance from the mirror should a screen be placed in order to obtain a sharp image? Describe the nature and size of the image. If the candle is moved closer to the mirror, how would the screen have to be moved?
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A light ray is moving from denser (refractive index = μ) to air. If the angle of incidence is half the angle of refraction, find out the angle of refraction.
MEDIUM
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There is a small air bubble inside a glass sphere (μ = 1.5) of radius 10 cm. The bubble is 4 cm below the surface and is viewed normally from the outside as shown in figure. Find the apparent depth of the bubble.

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MEDIUM
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Calculate the resolving power of astronomical telescope, assuming the diameter of the objective lens to be 6 cm and wavelength of light used to be 540 mm.
MEDIUM
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Calculate the limit of resolution of a microscope if an object of numerical aperture 0.12 is viewed by using light of wavelength 6 × 10–7 m.
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An object is placed at the distance of 30 cm in front of a convex lens of focal length 10 cm. Find the position of the image, its nature and magnification.
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A planoconvex lens has a focal length of 30 cm and an index of refraction 1.5. Find the radius of the convex surface.
MEDIUM
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A biconvex lens (μ = 1.5) of focal length 0.2 m acts as a divergent lens of power 1 D when immersed in a liquid. Find the refractive index of the liquid.