A medium shows relation between i and r as shown. If speed of light in the medium is nc then value of n is

(a)   1.5

(b)   2

(c)   2–1

(d)   3–1/2

Concept Questions :-

Refraction at plane surface
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For a concave mirror, if the virtual image is formed, the graph between m and u is of the form :

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Reflection at spherical surface
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For a convex lens, the distance of the object is taken on X-axis and the distance of the image is taken on Y-axis, the nature of the graph so obtained is :

(a) Straight line                      (b) Circle

(c) Parabola                           (d) Hyperbola

 

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The diameter of a plano-convex lens is 6 cm and thickness at the centre is 3 mm. If the speed of light in the material of the lens is 2×108msec, the focal length of the lens is

(a) 15 cm                         (b) 20 cm

(c) 30 cm                         (d) 10 cm

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A luminous object is placed at a distance of 30 cm from the convex lens of focal length 20 cm. On the other side of the lens, at what distance from the lens, a convex mirror of radius of curvature 10 cm be placed in order to have an upright image of the object coincident with it?

(a) 12 cm                              (b) 30 cm

(c) 50 cm                              (d) 60 cm

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Shown in the figure here is a convergent lens placed inside a cell filled with a liquid. The lens has focal length + 20 cm when in air and its material has refractive index 1.50. If the liquid has refractive index 1.60, the focal length of the system is

                         

(a) + 80 cm                         (b) – 80 cm

(c) – 24 cm                          (d) –160 cm

Concept Questions :-

Lensmakers' formula
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Which one of the following spherical lenses does not exhibit dispersion? The radii of curvature of the surfaces of the lenses are as given in the diagrams

                 

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The size of the image of an object, which is at infinity, as formed by a convex lens of focal length 30 cm is 2 cm. If a concave lens of focal length 20 cm is placed between the convex lens and the image is at a distance of 26 cm from the convex lens, calculate the new size of the image.

(a) 1.25 cm                              (b) 2.5 cm

(c) 1.05 cm                              (d) 2 cm

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An achromatic prism is made by crown glass prism Ac=19° and flint glass prism AF=6°. If μvC=1.5 and μvF=1.66, then resultant deviation for red coloured ray will be

(a) 1.04°                     (b) 5°

(c) 0.96°                      (d) 13.5°

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An isosceles prism of angle 120° has a refractive index of 1.44. Two parallel monochromatic rays enter the prism parallel to each other in air as shown. The rays emerging from the opposite faces :

                               

(a) Are parallel to each other

(b) Are diverging

(c) Make an angle 2sin-10.72 with each other

(d) Make an angle 2sin-10.72-30° with each other

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