JEE Main & Advanced Physics Ray Optics Question Bank

done Topic Test - Reflection of Light Total Questions - 35

• question_answer1)
  A ray is incident at an angle of \[{{20}^{o}}\] to a plane mirror as shown in figure. If mirror is rotated by \[{{10}^{o}}\] in ACW direction and incident ray is rotated by \[{{10}^{o}}\] in CW direction then the reflected ray will be rotated by
  A)
  \[{{30}^{o}},\,CW\] done clear
  B)
  \[{{10}^{o}},\,ACW\] done clear
  C)
  \[{{30}^{o}},\,ACW\] done clear
  D)
  \[{{10}^{o}},\,CW\] done clear
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• question_answer2)
  In the figure shown, a thick plano convex lens is silvered at both the surfaces. A point source of light 'S' is inside the lens. The radius of curvature of the spherical curved surface is (8/3) cm and the distance 'S' from the curved surface is 2 cm. If the images formed due to direct reflections from the plane and curved surface coincide, then find the thickness of the lens in cm.
  A)
  5 done clear
  B)
  7 done clear
  C)
  3 done clear
  D)
  8 done clear
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• question_answer3)
  There is a convex mirror of radius 50 cm. The image of a point at a distance 50 cm from the pole of mirror on its axis will be formed at:
  A)
  infinity                                       done clear
  B)
  pole done clear
  C)
  focus done clear
  D)
  16.67 cm behind the mirror done clear
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• question_answer4)
  A girl stands at a distance 50 cm from the mirror. She is able to see her erect image but of 1/5 height of actual height. The mirror will be :
  A)
  plane mirror done clear
  B)
  concave mirror done clear
  C)
  convex mirror done clear
  D)
  plane convex mirror done clear
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• question_answer5)
  Two plane mirrors are inclined to each other at some angle. A ray of light incident at \[30{}^\circ \] on one, after reflection from the other retraces its path. The angle between the, mirrors is
  A)
  \[30{}^\circ \] done clear
  B)
  \[45{}^\circ \] done clear
  C)
  \[60{}^\circ \]   done clear
  D)
  \[90{}^\circ \] done clear
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• question_answer6)
  A dentist wants a small mirror that when placed 2 cm from a tooth, will produce \[3\times \] upright image. What kind of mirror must be used and what must its focal length be?
  A)
  concave mirror, 3.0 cm done clear
  B)
  concave mirror, 1.5 cm done clear
  C)
  convex mirror, 3.0 cm done clear
  D)
  convex mirror, 1.5 cm done clear
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• question_answer7)
  Two plane mirrors are kept such that angle between their reflecting surfaces is \[40{}^\circ \]. A point object is kept symmetrically with respect to the mirrors. The total number of images formed by one mirror is:
  A)
  8 done clear
  B)
  9                done clear
  C)
  4 done clear
  D)
  5 done clear
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• question_answer8)
  The plane of a mirror makes an angle of \[30{}^\circ \] with horizontal. If a vertical ray is incident on a mirror, then what is the angle between mirror and reflected ray?
  A)
  \[60{}^\circ \] done clear
  B)
  \[90{}^\circ \] done clear
  C)
  \[45{}^\circ \] done clear
  D)
  \[30{}^\circ \] done clear
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• question_answer9)
  The focal length of a concave mirror is 30 cm. Find the position of the object in front of the mirror, so that the image is three times the size of the object.
  A)
  20 cm (only) done clear
  B)
  40 cm (only) done clear
  C)
  30 cm (only) done clear
  D)
  20 cm or 40 cm done clear
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• question_answer10)
  Two plane mirrors of length L are separated by distance L and a man \[{{M}_{2}}\] is standing at distance L from the connecting line of mirrors as shown in figure. A man \[{{M}_{1}}\] is walking in a straight line at distance 2L parallel to mirrors at speed u, then man \[{{M}_{2}}\] at O will be able to see image of \[{{M}_{1}}\] for time:
  A)
  \[\frac{4L}{u}\] done clear
  B)
  \[\frac{3L}{u}\] done clear
  C)
  \[\frac{6L}{u}\] done clear
  D)
   \[\frac{9L}{u}\] done clear
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• question_answer11)
  A mobile phone of width 5 cm and length 10 cm, is placed parallel to its lengths, such that one of its lengths is along the principal axis of a concave mirror of focal length 30 cm. The far point of its length is at the centre of curvature of the mirror. The width of the image will be
  A)
  5 cm done clear
  B)
  varies from 5 to 7.5 cm done clear
  C)
  cannot be found done clear
  D)
  varies from 7.5 to 9 cm done clear
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• question_answer12)
  A person AB of height 170 cm is standing in front of a plane mirror. His eyes are at height 164 cm. At what distance from P should a hole be made in the mirror so that he cannot see the top of his head.
  A)
  167 cm done clear
  B)
  161 cm          done clear
  C)
  163 cm done clear
  D)
  none of these done clear
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• question_answer13)

  DIRECTION: Read the passage given below and answer the questions that follows:

  A plane mirror \[({{M}_{1}})\] and a concave mirror \[({{M}_{2}})\] of focal length 10 cm are arranged as shown in figure. An object is kept at origin. Answer the following questions (Consider image formed by single reflection in all cases)

  The co-ordinates of image formed by the plane mirror are
  A)
  \[(-20\,cm,\,0)\] done clear
  B)
  \[(10\,cm,\,-\,60\,cm)\] done clear
  C)
  \[(10\,cm,\,-\,10\,cm)\] done clear
  D)
  \[(10\,cm,\,\,10\,cm)\] done clear
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• question_answer14)

  DIRECTION: Read the passage given below and answer the questions that follows:

  A plane mirror \[({{M}_{1}})\] and a concave mirror \[({{M}_{2}})\] of focal length 10 cm are arranged as shown in figure. An object is kept at origin. Answer the following questions (Consider image formed by single reflection in all cases)

  The co-ordinates of image formed by concave mirror are
  A)
  \[(10\,cm,\,\,-\,40\,cm)\] done clear
  B)
  \[(10\,cm,\,\,-\,60\,cm)\] done clear
  C)
  \[(10\,cm,\,\,8\,cm)\] done clear
  D)
  None of these done clear
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• question_answer15)
  The figure shows two parallel plane mirrors placed 10 cm apart. An object 0 is placed 7 cm from mirror \[{{M}_{1}}\]. Then the distance of final image formed from mirror \[{{M}_{1}}\] is:
  A)
  7 cm done clear
  B)
  13 cm done clear
  C)
  14 cm done clear
  D)
  \[y={{t}^{2}}/4\] done clear
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• question_answer16)

  A spherical concave mirror of focal length 10 cm is cut in two equal halves and is separated by a distance 4 mm as shown. A small object is kept at 30 cm from the mirrors and between the two halves as shown.

  The distance between the images by halves of mirror will be

  A)
  4 mm done clear
  B)
  6 mm done clear
  C)
  9 mm done clear
  D)
  12 mm done clear
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• question_answer17)
  A man is sitting in a room at 2 m from a wall \[{{W}_{1}}\] wants to see the full height of the wall \[{{W}_{2}}\] behind him 4 m high and 6 m away from the facing wall \[{{W}_{1}}\]. What is the minimum vertical length of mirror on the facing wall required for the purpose?
  A)
  4 m                          done clear
  B)
  2 m done clear
  C)
  3 m done clear
  D)
  1 m done clear
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• question_answer18)
  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 \[{{90}^{o}}\] at the eye. The height of the tower will be
  A)
  30 m done clear
  B)
  60 m             done clear
  C)
  90 m done clear
  D)
  120 m done clear
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• question_answer19)
  A ray of light fails on a plane mirror. When the mirror is turned, about an axis which is at right angle to the plane of the mirror through \[{{20}^{o}}\] the angle between the incident ray and new reflected ray is \[{{45}^{o}}\]. The angle between the incident ray and original reflected ray was therefore:
  A)
  \[{{65}^{o}}\]  done clear
  B)
  \[{{25}^{o}}\] or \[{{65}^{o}}\]        done clear
  C)
  \[{{25}^{o}}\] done clear
  D)
  \[{{45}^{o}}\] done clear
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• question_answer20)
  Find the distance between the object and its doubly magnified real image by a concave mirror of focal length \[f\].
  A)
  \[2f\] done clear
  B)
  \[\frac{3f}{2}\] done clear
  C)
  \[\frac{5f}{2}\] done clear
  D)
  \[3f\] done clear
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• question_answer21)
  The reflecting surface of a plane mirror is vertical. A particle is projected in a vertical plane which is also perpendicular to the mirror. The initial speed of the particle is 10 m/s and the angle of projection is \[{{60}^{o}}\] from the normal of the mirror. The point of projection is at a distance 5 m from the mirror. The particle moves towards the mirror. Just before the particle touches the mirror, the velocity of approach of the particle and the image is:
  A)
  10 m/s done clear
  B)
  5 m/s done clear
  C)
  \[10\sqrt{3}\,m/s\] done clear
  D)
  \[5\sqrt{3}\,m/s\] done clear
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• question_answer22)
  The radius of curvature of a plane mirror of length 40 cm is:
  A)
  20 cm done clear
  B)
  40 cm done clear
  C)
  0 done clear
  D)
  None done clear
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• question_answer23)
  A rod 1.5 m long is placed along the principal axis of a convex mirror of focal length 60 cm. The near end of the rod is 1 m from the pole of the convex mirror. The length of the image of the rod is
  A)
  15 cm done clear
  B)
  14.44 cm done clear
  C)
  6.62 cm done clear
  D)
  10.88 cm done clear
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• question_answer24)
  A light ray I is incident on a plane mirror M. The mirror is rotated in the direction as shown in the figure by an arrow at frequency \[9\pi /rps\]. The light reflected by the mirror is received on the wall W at a distance 10m from the axis of rotation. When the angle of incidence becomes \[37{}^\circ \] the speed of the spot (a point) on the wall is:                      
  A)
  10 m/s done clear
  B)
  1000 m/s done clear
  C)
  500 m/s done clear
  D)
  None of these done clear
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• question_answer25)
  An object is moving towards a concave mirror of focal length 24 cm. When it is at a distance of 60 cm from the mirror its speed is 9 cm/s. The speed of its image at the instant is
  A)
  4 cm/s towards the mirror done clear
  B)
  9 cm/s towards the mirror done clear
  C)
  4 cm/s away from the mirror done clear
  D)
  9 cm/s away from the mirror done clear
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• question_answer26)
  In the figure shown a thin parallel beam of light is incident on a plane mirror \[{{m}_{1}}\] at small angle \['\theta '.\] \[{{m}_{2}}\] is a concave mirror of focal length \['f'\]. After three successive reflections of this beam the \[x\] and \[y\] coordinates of the image is
  A)
  \[x=f-d,y=f\theta \]        done clear
  B)
  \[x=d+f,y=f\theta \] done clear
  C)
  \[x=f-d,y=-f\theta \]       done clear
  D)
  \[x=d-f,y=-f\theta \] done clear
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• question_answer27)
  The focal length of a concave mirror is f and the distance from the object to the principal focus is \[x\]. Then the ratio of the size of the image to the size of the object is:
  A)
  \[\frac{(f+x)}{f}\] done clear
  B)
  \[\frac{f}{x}\] done clear
  C)
  \[\sqrt{\frac{f}{x}}\] done clear
  D)
  \[\frac{{{f}^{2}}}{{{x}^{2}}}\] done clear
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• question_answer28)
  A rear mirror of a vehicle is cylindrical having radius of curvature 10 cm. The length of arc of curved surface is also 10 cm. If the eye of the driver is assumed to be at a large distance from the mirror, then the field of view in radians is
  A)
  0.5 done clear
  B)
  1 done clear
  C)
  2 done clear
  D)
  4 done clear
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• question_answer29)
  The reflecting surface of a plane mirror is vertical. A particle is projected in a vertical plane which is also perpendicular to the mirror. The initial speed of the particle is 10 m/s and the angle of projection is \[60{}^\circ \] from the normal of the mirror. The point of projection is at a distance 5 m from the mirror. The particle moves towards the mirror. Just before the particle touches the mirror, the velocity of approach of the particle and the image is:
  A)
  10 m/s done clear
  B)
  5 m/s done clear
  C)
  \[10\sqrt{3}\,m/s\] done clear
  D)
  \[5\sqrt{3}\,m/s\] done clear
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• question_answer30)
  A 0.5 cm high object is placed at 30 cm from a convex mirror whose focal length is 20 cm. Find the position and size of the image.
  A)
  12 cm, 0.2 cm done clear
  B)
  18 cm, 0.2 cm done clear
  C)
  6 cm, 0.5 cm done clear
  D)
  5 cm, 0.1 cm done clear
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• question_answer31)
  In the figure shown, the image of a real object is formed at point I. AB is the principal axis of the mirror. The mirror must be:
  A)
  concave and placed towards right of I   done clear
  B)
  concave and placed towards left of O done clear
  C)
  convex and placed towards right of I    done clear
  D)
  convex and placed towards left of I done clear
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• question_answer32)
  Two plane mirrors A & B are aligned parallel to each other, as shown in the figure. A light ray is incident to an angle of \[\text{3}0{}^\circ \] at a point just inside one end of A. The plane of incidence 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:
  A)
  28 done clear
  B)
  30               done clear
  C)
  32 done clear
  D)
  34 done clear
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• question_answer33)
  An object O is placed in front of a plane mirror. A person looks into the mirror as shown. At what position is the image of O is observed by person?
  A)
  A done clear
  B)
  B done clear
  C)
  C done clear
  D)
  D done clear
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• question_answer34)
  An object is placed at a distance of 50 cm from a convex mirror. A plane mirror is placed in front of the convex mirror in such a way that it convers half of the convex mirror. If the distance between object and plane mirror is 30 cm then there is no parallax between the images formed by two mirrors the radius of curvature of convex mirror will be :
  A)
  50 cm  done clear
  B)
  25 cm   done clear
  C)
  12.5 cm done clear
  D)
  100 cm done clear
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• question_answer35)
  An infinitely long rectangular strip is placed on principal axis of a concave mirror as shown in figure. One end of the strip coincides with centre of curvature as shown. The height of rectangular strip is very small in comparison to focal length of the mirror. Then the shape of image of strip formed by concave mirror is
  A)
  Rectangle done clear
  B)
  Trapezium         done clear
  C)
  Triangle done clear
  D)
  Square done clear
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