17
A convex lens 'A' of focal length 20 cm and a concave lens 'B' of focal length 5 cm are kept along the same axis with a distance 'd' between them. If a parallel beam of light falling on 'A' leaves 'B' as a parallel beam, then the distance 'd' in cm will be :
18
A lens of large focal length and large aperture is best suited as an objective of an astronomical telescope since :
20
A ray is incident at an angle of incidence i on one surface of a small angle prism (with angle of prism A) and emerges normally from the opposite surface. If the refractive index of the material of the prism is $$\mu $$, then the angle of incidence is nearly equal to :
21
The Brewster's angle ib for an interface should be :
22
In total internal reflection when the angle of incidence is equal to the critical angle for the pair of media in contact, what will be angle of refraction?
23
Pick the wrong answer in the context with rainbow.
24
Two similar thin equi-convex lenses, of focal length f each, are kept coaxially in contact with each other such that the focal length of the combination is F1. When the space between the two lenses is filled with glycerin (which has the same refractive index (m = 1.5) as that of glass) then the equivalent focal length is F2. The ratio F1 : F2 will be :
25
The refractive index of the material of a prism
is $$\sqrt 2 $$ and the angle of the prism is 30°. One
of the two refracting surfaces of the prism is
made a mirror inwards, by silver coating. A
beam of monochromatic light entering the
prism from the other face will retrace its path
(after reflection from the silvered surface) if
its angle of incidence on the prism is
26
An object is placed at a distance of 40 cm
from a concave mirror of focal length 15 cm.
If the object is displaced through a distance
of 20 cm towards the mirror, the displacement
of the image will be
27
An astronomical refracting telescope will have
large angular magnification and high angular
resolution, when it has an objective lens of
28
A thin prism having refracting angle 10o is made of glass of refractive infex 1.42. This prism is combined with another thin prism of glass of refractive index 1.7. This combination producess dispersion without deviation. The refracting angle of second prism should be
29
A beam of light from a source L is incident normally on a plane mirror fixed at a certain distance x from the source. The beam is reflected back as a spot on a scale placed just above the source L. When the mirror is rotated through a small angle $$\theta $$, the spot of the light is found to move through a distance y on the scale. The angle $$\theta $$ is given by
30
A person can see clearly objects only when they lie between 50 cm and 400 cm from his eyes . In order to increase the maximum distance of distinct vision to infinity, the type and power of the correcting lens, the person has to use. will be
31
Two identical glass ($$\mu $$g = 3/2) equiconvex lenses of focal length $$f$$ each are kept in contact. The space between the two lenses is filled with water $$\left( {{\mu _w} = 4/3} \right)$$. The focal length of the combination is
32
An air bubble in a glass slab with refractive index 1.5 (near normal incidence) is 5 cm deep when viewed from one surface and 3 cm deep when viewed from the opposite face. The thickness (in cm) of the slab is
34
A astronomical telescope has objective and eyepiece of focal lengths 40 cm and 4 cm respectively. To view an object 200 cm away from the objective, the lenses must be separated by a distance
35
The angle of incidence for a ray of light at a refracting surface of a prism is 45o. The angle of prism is 60o. If the ray suffers minimum deviation through the prism, the angle of minimum deviation and refractive index of the material of the prism respectively, are
36
In an astronomical telescope in normal adjustment a straight black line of length L is drawn on inside part of objective lens. The eye-piece forms a real image of this line. The length of this image is $$I$$. The magnification of the telescope is
38
The refracting angle of a prism is A, and refractive index of the material of the prism is cot (A/2). The angle of minimum deviation is
AIPMT 2015 Cancelled Paper
39
Two identical thin plano-convex glass lenses (refractive index 1.5) each having radius of curvature of 20 cm are placed with their convex surfaces in contact at the centre. The intervening space is filled with oil of refractive index 1.7. The focal length of the combination is
AIPMT 2015 Cancelled Paper
40
If the focal length of objective lens is increased then magnifying power of
41
The angle of a prism is A. One of its refracting surfaces is silvered. Light rays falling at an angle of incidence 2 A on the first surface returns back through the same path after suffering reflection at the silvered surface.
The refractive index $$\mu $$, of the prism is
42
Two plane mirrors are inclined at 70o. A ray incident on one mirror at angle, $$\theta $$ after reflection falls on second mirror and is reflected from there parallel to first mirror. The value of $$\theta $$ is
43
For a normal eye, the cornea of eye provides a converging power of 40 D and the least converging power of the eye lens behinf the cornea is 20 D. Using this information, the distance between the retina and the cornea-eye lens can be estimated to be
44
A plano convex lens fits exactly into a plano concave lens. Their plane surfaces are parallel to each other. If lenses are made of different materials of refractive indices $$\mu $$1 and $$\mu $$2 and R is the radius of curvature of the curved surface of the lenses, then the focal length of the combination is
45
A rod of length 10 cm lies along the principal axis of a concave mirror of focal length 10 cm in such a way that its enf closer to the pole is 20 cm away from the mirror. The length of the image is
46
For the angle of minimum deviation of a prism to be equal to its refracting angle, the prism must be made of a material whose refractive index.
47
The magnifying power of a telescope is 9. When it is adjusted for parallel rays the distance between the objective and eyepiece is 20 cm. The focal length of lenses are
48
A concave mirror of focal length $$f$$1 is placed at a distance of d from a convex lens of focal length $$f$$2. A beam of light coming from infinity and falling on this convex lens $$-$$ concave mirror combination returns to infinity. The distance d must equal
49
When a biconvex lens of glass having refractive index 1.47 is dipped in a liquid, it acts as a plane sheet of glass. This implies that the liquid must have refractive index
50
A ray of light is incident at an angle of incidence i, on one face of a prism of angle A (assumed to be small ) and emerges normally from the opposite face. If the refractive index of the prism is $$\mu $$. the angle of incidence i, is nearly equal to
51
A converging beam of rays is incident on a diverging lens. Having passed through the lens the rays intersect at a point 15 cm from the lens on the opposite side. If the lens is removed the point where the rays meet will move 5 cm closer to the lens. The focal length of the lens is
52
A thin prism of angle 15o made of glass of refractive index $$\mu $$1 = 1.5 is combined with another prism of glass of refractive index $$\mu $$2 = 1.75. The combination of the prisms produces dispersion without deviation. The angle of the second prism should be
53
A biconvex lens has a radius of curvature of magnitude 20 cm. Which one of the following options describe best the image formed of an object of height 2 cm placed 30 cm from the lens ?
54
Which of the following is not due to total internal reflection ?
55
A rays of light is incident on a 60o prism at the minimum deviation position. The angle of refraction at the first face (i.e., incident face) of the prism is
56
The speed of light in media M1 and M2 are 1.5 $$ \times $$ 108 m/s and 2.0 $$ \times $$ 108 m/s respectively. A ray of light enters from medium M1 to M2 at an incidence angle i. If the rays suffers total internal reflection, the value of i is
57
A ray of light travelling in a transparent medium of refractive index $$\mu $$, falls on a surface separating the medium from air at an angle of incidence of 45o. For which of the following value of $$\mu $$ the ray can undergo total internal reflection ?
58
A lens having focal length f and aperture of diameter d forms an image of intensity I. Aperture of diameter $${d \over 2}$$ in central region of lens is covered by a black paper. Focal length of lens and intensity of image now will be respectively
59
A boy is trying to start a fire by focusing sunlight on a piece of paper using an equiconvex lens of focal length 10 cm. The diameter of the sun is 1.39 $$ \times $$ 109 m and its mean distance from the earth is 1.5 $$ \times $$ 1011 m. What is the diameter of the sun's image on the paper ?
60
Two thin lenses of focal lengths f1 and f2 are in contact and coaxial. The power of the combination is
62
A convex lens and a concave lens, each having same focal length of 25 cm, are put in contact to form a combination of lenses. The power in diopters of the combination is
63
A microscope is focussed on a mark on a piece of paper and then a slab of glass of thickness 3 cm and refractive index 1.5 is placed over the mark. How should the microscope be moved to get the mark in focus again ?
64
A beam of light composed of red and green ray is incident obliquely at a point on the face of rectangular glass slab. When coming out on the opposite parallel face, the red green ray emerge from
65
The refractive index of the material of a prism is $$\sqrt 2 $$ and its refracting angle is 30o. One of the refracting surfaces of the prism is made a mirror inwards. A beam of monochromatic light entering the prism from the other face with retrace its path after reflection from the mirrored surface if its angle of incidence on the prism is
66
A convex lens is dipped in a liquid whose refractive index is equal to the refractive index of the lens. Then its focal length will
68
Diameter of human eye lens is 2 mm. What will be the minimum distance between two points to resolve them, which are situated at a distance of 50 meter from eye. The wavelength of light is 5000 $$\mathop A\limits^ \circ $$
70
A bulb is located on a wall. Its image is to be obtained on a parallel wall with the help of convex lens. The lens is placed at a distance d ahead of second wall, then required focal length will be
71
A disc is placed on a surface of pond which has refractive index 5/3. A source of light is placed 4 m below the surface of liquid. The minimum radius of disc needed so that light is not coming out is,
72
Optical fibre are based on
74
For a plano convex lens ($$\mu $$ = 1.5) has radius of curvature 10 cm. It is silvered on its plane surface. Find focal length after silvering
75
A tall man of height 6 feet, want to see his full image. Then required minimum length of the mirror will be
76
A bubble in glass slab ($$\mu $$ = 1.5) when viewed from one side appears at 5 cm and 2 cm from other side, then thickness of slab is