AIATS mains
Ray optics
Sec-A
1. A 3 cm thick glass slab is polished on back surface. A point object is placed at 10 cm
in front of unsilvered face of slab. What will be the position of final image from
unsilvered face (tan glass = 1.5)?
(1) 12 cm
2.
(2)14 cm
(3)10 cm
If unit vector along direction of incident ray is
(4)16 cm
and along normal is - , find unit
vector along reflected ray
(1)
3.
(2)20 cm
(3)30 cm
(4)40 cm
(2)14 m/s
(3)16 m/s
(4)24 m/s
A small rod of length 5 cm is rotating about principal axis. It is at the distance 15 cm
from mirror, then radius of path followed by image is
(1)10 cm
6.
(4)
A stationary object is placed in front of moving mirror according to diagram, find
velocity of image w.r.t. object
(1)10 m/s
5.
(3)
A concave mirror has a focal length 30 cm. The distance between the two positions
of object for which size of image is double of size of object is
(1)10 cm
4.
(2)
(2)15 cm
(3) 20 cm
(4)5 cm
When an object is at distance x1 and x2 from the poles of a concave mirror, images of
same magnification are formed. The focal length of the mirror is
(1)
(2)
(3)|x1 - x2|
(4)|x1 +x2|
7.
A white light is incident on a glass slab. Maximum lateral displacement is for
(1) Red
8.
(3) x = 2 cm
(4)x = -3 cm
(2)60°
(3) 48°
(4)29°
(2)15°
(3) 45°
(4)60°
What is the minimum value of refractive index for a 60°, 30°, 90° prism so that rays
do not emerge from opposite side?
(1) n= 1.15
12.
(2)x=-2.5cm
A ray is incident at an angle 60° on a sphere which is made of material having
refractive index = find angle by which final ray is deviated
(1) 30°
11.
(4) Yellow
A ray is incident on prism at an angle i with normal, when it comes out of prism its
angular deviation is δ. Graph between δ and i is given. Prism angle is
(1) 68°
10.
(3) Green
Principal axis of a thin lens is the x-axis. The coordinates of a point object and its
image are (-20 cm, 2 cm) and (25 cm, -1 cm). Lens is located at
(1) +10 cm
9.
(2) Violet
(2) n = 2
(3) n = 1.33
(4) n = 1.6
The angle of incidence for an equilateral prism is 45°, what should be the refractive
index of prism material so that the ray is parallel to the base inside prism
(1) 1.3
(2)1.4
(3)1.5
(4)1.6
13.
A tiny air bubbles in a glass slab (µ = 1.5) appears at 8 cm from one side and 4 cm
from other side. The thickness of glass slab is
(1) 12 cm
14.
(3) 10 cm
(4)20 cm
Position of object and screen is fixed and lens is moved. At two positions of lens we
get clear image. First position is at 30 cm from object and second position is at 50 cm
from object. Find focal length of lens.
(1)
15.
(2)18 cm
(2)
(3)
(4)
Two plane mirrors are inclined at an acute angle such that a ray incident on a mirror
undergoes a total deviation of 210° after two reflections
(1)The angle between mirrors is 60°
(2)The number of images formed by this system will be 5
(3)All images and object will lie on a circle
(4)All images and object will lie on an ellipse
16.
In the diagram, an object is placed at distance 20 cm from pole. In this condition
object and image coincide. Radius of curvature of mirror is 25 cm, refractive index of
liquid is
(1)
17.
(2)
(3)
(4)1.2
A long rectangular slab of transparent medium is placed on a horizontal table with its
length parallel to x-axis and width parallel to the y-axis as shown in diagram. A ray of
light traveller in air makes a grazing incidence on the slab. The refractive index N of
medium varies or N = 2x. The path of light ray is given by
(1) y=2logex
18.
(2)y=0
(3) y=2x2
(4)x2 = 2y
An equiconvex lens made of glass (n = ) is placed in such a way, one surface is in
contact with water (n = ) and another surface is in contact with air. Find focal
length of setup. Radius of curvature (R = 30 cm)
(1) 60 cm
19.
(3) 30 cm
(4)100 cm
Angle made by light ray with the normal in medium of refractive index √2 is
(1)
20.
(2)120 cm
(2)
(3)
(4)
Right face of the glass cube is silvered or shown. A ray of light incident on left face of
the cube as shown. Find the deviation of the ray when it comes out of the glass cube
(1) 0°
(2)90°
(3)180°
(4)270°
Sec-B
Integer Type Questions:
21. A point source of light B is placed at a distance L in front of the
centre of a mirror of width d hung vertically on a wall. A man
walks in front of the mirror along a line parallel to the mirror at
a distance 2L from it as shown. The greatest distance over
which he can see the image of the light source in the mirror is
d
Two plane mirrors. A and B are aligned parallel to each other, as
shown in the figure. A light ray is incident at an angle of  at
a point just inside one end of A. The plane of incidence 0.2m
coincides with the plane of the figure. The maximum number
of times the ray undergoes reflections (including the first one)
before it emerges out is
B
A
L
2L
B
30o
A
23. A concave mirror of focal length
is used to obtain the image of the sun which subtends
an angle of  The diameter of the image of the sun will be N X 10-4m. the value of N is…….
24. A square of side
is placed at a distance of
from a concave mirror of focal length
The centre of the square is at the axis of the mirror and the plane is normal to the axis.
The area enclosed by the image of the square is……….. cm2.
25. A thin rod of length
lies along the axis of a concave mirror of focal length One end of
its magnified image touches an end of the rod. The length of the image is f/x. the value of x
is……..