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Mirror Formula and Magnification

Water ( with ...

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Water ( with refractive index 4/3) in a tank is 18 cm deep.Oil of refractive index 7/4 lies on water making a convex surface of radius of curvature R=6 cm.Consider Oil to act as a thin lens.An object Sender is placed 24 cm above water surface.The location of image is at x cm above the bottom of the tank.Then x is

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Q. Water (with refractive index

= 4 / 3)

in a tank is 18 cm deep. Oil of refractive index 7/4 lies on water making a convex surface of radius of curvature

R = 6 c m

as shown. Consider oil to act as a thin lens. An object S is placed 24 cm above water surface. The location of its image is at 'x' cm above the bottom of the tank. Then x is

Q. The convex surface of a thin concavo-convex lens of glass of refractive index

1.5

has a radius of curvature

20 c m

. The concave surface has a radius of curvature

60 c m

. The convex side is silvered and placed on a horizontal surface.
If the concave part is filled with water of refractive index

4 / 3

, find the distance through which the pin should be moved so that the image of the pin again coincides with the pin?

Q. A small fish, 4 cm below the surface of a lake, is viewed through a thin converging lens of focal length 30 cm held 2 cm above the water surface. Refractive index of water is 1.33. The image of the fish from the lens is at a distance of :

Q. A thin convex lens is placed just above an empty vessel of depth

80 c m

. The image of a coin kept at the bottom of the vessel is thus formed

20 c m

above the lens. If now, water is poured in the vessel up to a height of

64 c m

, what will be the approximate new position of the image? Assume that refractive index of water is 4/3.

Q. A concave mirror of radius of curvature 60cm is placed at the bottom of a tank containing water up to a height of 20cm. The mirror faces upwards with its axis vertical. Sunlight falls normally on the surface of the water and the image of the sun is formed. If refractive index of water is

\frac{4}{3}

then with the observer in air, the distance of the image from the surface of water is

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