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 :

(1) Straight line                     

(2) Circle

(3) Parabola                          

(4) Hyperbola

 

Subtopic:  Lenses |
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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

1. 15 cm                         

2. 20 cm

3. 30 cm                         

4. 10 cm

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A luminous object is placed at a distance of \(30\) cm from the convex lens with a focal length of \(20\) cm. On the other side of the lens, at what distance from the lens, a convex mirror with a radius of curvature of \(10\) cm be placed in order to have an upright image of the object coincident with it?
1. \(12~\text{cm}\)   2. \(30~\text{cm}\)
3. \(50~\text{cm}\) 4. \(60~\text{cm}\)
Subtopic:  Lenses |
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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

1. + 80 cm                         

2. – 80 cm

3. – 24 cm                         

4. –160 cm

Subtopic:  Lens Makers' 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.

1. 1.25 cm                             

2. 2.5 cm

3. 1.05 cm                             

4. 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

1. 1.04°                     

2. 5°

3. 0.96°                     

4. 13.5°

Subtopic:  Prisms |
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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 :

                               

1. Are parallel to each other

2. Are diverging

3. Make an angle 2sin-10.72 with each other

4. Make an angle 2sin-10.72-30° with each other

Subtopic:  Prisms |
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A ray of light is incident on the hypotenuse of a right-angled prism after travelling parallel

to the base inside the prism. If μ is the refractive index of the material of the prism, the

maximum value of the base angle for which light is totally reflected from the hypotenuse

is 

1. sin-11μ                            

2. tan-11μ

3. sin-1μ-1μ                        

4. cos-11μ

Subtopic:  Total Internal Reflection |
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A plano-convex lens when silvered in the plane side behaves like a concave mirror of

focal length 30 cm. However, when silvered on the convex side it behaves like a concave

mirror of focal length 10 cm. Then the refractive index of its material will be 

1. 3.0                               

2. 2.0

3. 2.5                               

4. 1.5

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