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A Journey Towards Excellence
Time : 60 Min Phy : Ray Optics Marks : 180
01) Which of the following statements is true? A) The virtual image formed in a plane mirror can be photographed. B) Given a point source of light, a convex mirror can produce a parallel beam of light. C) Concave mirror can give diminished virtual image. D) An object situated at the principle focus of a concave lens will have its image formed at infinity.
02) A point source of light B is placed at a distance L in front of the center 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
A) 3d B) 2d C) d D) d/
03) When a plane mirror is placed horizontally on a level ground at a distance of 60 m from the foot of a tower, the top of the tower and its image in the mirror subtend an angle of 90o^ at the eye. The height of the tower will be A) 120 m B) 90 m C) 60 m D) 30 m
04) Match the corresponding entries of Column 1 with Column 2. [Where m is the magnification produced by the mirror]
A) A pand s; B q and r; C qand s;
D q and r
B) A r and s; B q and s; C qand r;
D p and s
C) A q and r; B q and r; C qand s; D p
and s
D) A pand r; B pand s; C pand q; D r and s
05) The relation between the linear magnification m, the object distance u and the focal length f is
A) f m f u
f u m f
f m f u
f u m f
06) If an object moves towards a plane mirror with a speed v at an angle to the perpendicular to the plane of the mirror, find the relative velocity between the object and the image.
A) 2v B) v C) 2v sin D) 2v cos
07) What should be the angle between two plane mirrors so that whatever be the angle of incidence, the incident ray and the reflected ray from the two mirrors be parallel to each other? A) 175o B) 120o C) 90o D) 60o
08) A point object is placed at a distance of 10 cm and its real image is formed at a distance of 20 cm from a concave mirror. If the object is moved by 0.1 cm towards the mirror, the image will shift by about A) 0.8 cm towards the mirror. B) 0.8 cm away from the mirror. C) 0.4 cm towards the mirror. D) 0.4 cm away from the mirror.
09) A virtual image larger than the object can be obtained by A) plane mirror B) concave lens
C) convex mirror D) concave mirror
10) The separation between the screen and a plane mirror is 2r. An isotropic point source of light is placed exactly midway between the mirror and the screen. Assume that mirror reflects 100% of incident light. Then the ratio of illuminances on the screen with and without the mirror is A) 2 : 1 B) 10 : 1 C) 9 : 1 D) 10 : 9
11) A concave mirror is used to focus the image of a flower on a nearby well 120 cm from the flower. If a lateral magnification of 16 is desired, the distance of the flower from the mirror should be A) 120 cm B) 80 cm C) 12 cm D) 8 cm
12) A concave mirror of focal length 15 cm forms an image having twice the linear dimensions of the object. The position of the object when the image is virtual will be A) 45 cm B) 30 cm C) 22.5 cm D) 7.5 cm
13) A person sees his virtual image by holding a mirror very close to the face. When he moves the mirror away from his face, the image becomes inverted. What type of mirror he is using? A) Concave mirror B) Plane mirror C) Convex mirror D) None of these
14) The image formed by a convex mirror of focal length 30 cm is a quarter of the size of the object. The distance of the object from the mirror is A) 120 cm B) 90 cm C) 60 cm D) 30 cm
15) A light beam is being reflected by using two mirrors, as in a periscope used in submarines. If one of the mirrors rotates by an angle , the reflected light will deviate from its original path by the angle A) 4 B) 2 C)
D) 0 o
16) A plane mirror is approaching you at a speed of 10 cm/s. You can see your image in it. At what speed will your image approach you? A) 15 cm/s B) 20 cm/s
C) 5 cm/s D) 10 cm/s
17) An object of size 7.5 cm is placed in front of a convex mirror of radius of curvature 25 cm at a distance of 40 cm. The size of the image should be A) 0.8 cm B) 1 cm C) 1.78 cm D) 2.3 cm
18) Two plane mirrors are inclined at 70 o. A ray incident on one mirror at angle, after reflection falls on second mirror and is reflected from there parallel to first mirror. The value of is (2013) A) 45 o B) 30 o C) 55 o D) 50 o
19) A convex mirror has a focal length f. A real object is placed at a distance f in front of it from the pole produces an image at A) 2f B) f C) f/ D) Infinity
20) A man having height 6 m. He observes image of 2 m height erect, then mirror used is A) convex. B) concave. C) plane. D) none of these.
21) All of the following statements are correct except A) a real, inverted, same-sized image can be formed using a convex mirror. B) a virtual, erect, magnified image can be formed using a concave mirror. C) a virtual, erect, same-sized image can be obtained using a plane mirror. D) the magnification produced by a convex mirror is always less than one.
22) A cube of side 2 m is placed in front of a concave mirror focal length 1 m with its face P at a distance of 3 m and face Q at a distance of 5 m from the mirror. The distance between the images of face P and Q and height of images of P and Q are
A) 0.25 m, 1m, 0.5 m B) 0.5 m, 0.25 m, 1m C) 0.5 m, 1 m, 0.25 m D) 1 m, 0.5 m, 0.25 m
images will he be seen using his right hand? A) 3 B) 2 C) 1 D) None
35) A point object is placed at a distance of 30 cm from a convex mirror of focal length 30 cm. The image will form at A) pole. B) infinity. C) focus. D) 15 cm behind the mirror.
36) An object of length 6 cm is placed on the principle axis of a concave mirror of focal length f at a distance of 4f. The length of the image will be A) 1.2 cm B) 2 cm C) 4 cm D) 12 cm
37) Two vertical plane mirrors are inclined at an angle of 60o^ with each other. A ray of light travelling horizontally is reflected first from one mirror and then from the other. The resultant deviation is A) 240o B) 180o C) 120o D) 60o
38) A concave mirror of focal length f (in air) is immersed in water ( 4 /3). The focal length of
the mirror in water will be
A)
f
f
f 4 D) f
39) A man is 180 cm tall and his eyes are10 cm
below the top of his head. In order to see his entire height right from toe to head, he uses a plane mirror kept at a distance of 1m from him. The minimum length of the plane mirror required is A) 85 cm B) 90 cm C) 170 cm D) 180 cm
40) A boy stands straight in front of a mirror at a distance of 30 cm away from it. He sees his erect
image whose height is
th 5
of his real height. The
mirror he is using is A) plane mirror. B) concave mirror. C) convex mirror. D) plano-convex mirror.
41) Match List I with List II and select the correct answer using the codes given below the lists: List I (Position of the object)
List II (Magnification)
(I) An object is placed at focus before a convex mirror
(A) Magnification is
(II) An object is placed at center of curvature before a concave mirror
(B) Magnification is 0.
(III) An object is placed at focus before a concave mirror
(C) Magnification is 1
(IV) An object is placed at center of curvature before a convex mirror
(D) Magnification is - 1
(E) Magnification is 0.
A) I-B, II-E, III-D, IV-C B) I-C, II-B, III-A, IV-E C) I-A, II-D, III-C, IV-B D) I-B, II-D, III-A, IV-E
42) The focal length of a convex mirror is 20 cm, its radius of curvature will be A) 40 cm B) 30 cm C) 20 cm D) 10 cm
43) A plane mirror makes an angle of 30o^ with horizontal. If a vertical ray strikes the mirror, find the angle between mirror and reflected ray. A) 90o B) 60o C) 45o D) 30o
44) A small plane mirror placed at the center of a spherical screen of radius R. A beam of light is falling on the mirror. If the mirror makes n revolutions per second, the speed of light on the screen after reflection from the mirror will be
A) nR 2
B) nR 4 C) 2 nR D) 4 nR
45) A virtual image three times the size of the object is obtained with a concave mirror of radius of curvature 36 cm. The distance of the object from the mirror is A) 20 cm B) 12 cm C) 10 cm D) 5 cm