Light: Mirrors and
Lenses
                                                                           10
                                                                                Probe and ponder
                      z   Can we make mirrors which can give enlarged or diminished
                          images?
                      z   On side-view mirrors of vehicles, there is a warning that says
                          “Objects in mirror are closer than they appear”. Why is this
                          warning written there?
                      z   Why is there a curved line on some reading glasses?
                      z   Share your questions
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                      During the summer holidays, Meena went to a science centre with
                      her family. The centre had many fascinating displays on nature,
                      space, and technology. While her parents explored a section on
                      saving water and electricity, Meena and her brother wandered off
                      to look around. In one corner, Meena noticed a row of unusual,
                      curved mirrors. Curious, she stepped closer and looked into one.
                      Her face appeared unusually large, while her brother, standing
                      a little farther away, looked upside down! At another mirror, she
                      saw a tiny version of herself. Meena was puzzled.
                          She remembered doing activities with a mirror earlier where
                      the image formed by the mirror was of the same size as the object
                      and was erect (in the chapter ‘Light: Shadows and Reflections’
                      in Curiosity, Grade 7). Seeing her confusion, a guide from the
                      science centre walked up to her and smiled. “These are not plane
                      mirrors,” the guide explained. “These are spherical mirrors.
                      When the mirror is curved inward or outward, your image looks
                      different in them!” Meena’s curiosity grew and she decided to
                      talk to her teacher about these spherical mirrors.
                        10.1 What Are Spherical Mirrors?
                       Activity 10.1: Let us explore
                       z   Take a shiny metallic spoon and hold its
                           curved surface close to your face. Can you
                           see your image in it?
                       z   Notice the image of your face. Is it different
                           from the image you see in a plane mirror?
                       z   While observing the image, slowly move the
                           spoon away from your face. Do you observe
                           any change in the image?
                                                                                   (a)                    (b)
                       z   Now flip the spoon and repeat the same steps.       Fig. 10.1: Image formed in a shiny
                      Did you notice that the shiny metallic spoon acted     metallic spoon from its (a) Inner curved
                                                                                surface; (b) Outer curved surface
                      like a mirror and you could see your image in it?
                      When you looked at the inner side of the spoon which is curved
                      inwards, you must have observed that the image was inverted
                      (Fig. 10.1a). When you looked at the outer side of the spoon which
                      bulges outwards, the image of your face was erect but smaller in
                      size (Fig. 10.1b).
                          Curved mirrors, like the spoon, can also be specially made.
                      Spherical mirrors are a common type of curved mirrors which
                      are shaped like a part of a hollow glass sphere. Mirrors, whose
                      reflecting surfaces are spherical are called spherical mirrors.
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                                     The reflecting surface of the spherical mirror may be curved
                                  inwards or outwards. A spherical mirror, which has a reflecting
                                  surface that curves inwards, is called a concave mirror
                                  (Fig. 10.2a). Its schematic representation is shown in Fig. 10.2b.
                                  The outline of the surface of the mirror is circular.
                                               (a)                  (b)                     (a)                 (b)
                                         Fig. 10.2: (a) Concave mirror;           Fig. 10.3: (a) Convex mirror;
                                              (b) Its representation                  (b) Its representation
                                     A spherical mirror which has a reflecting surface that curves
                                  outwards is called a convex mirror (Fig. 10.3a). Its schematic
                                  representation is shown in Fig. 10.3b.
                                     In the representation of both the mirrors, the non-reflecting
                                  surface of the mirror is shown as shaded.
                                    A step further
                                    The shape of a spherical mirror is such that it can be thought of as
                                    a part of an imaginary hollow sphere. However, remember that
                                    spherical mirrors are not made by slicing a hollow glass sphere.
                                    Instead, they are created by grinding and polishing a flat glass
                                    piece into a curved surface. If a reflective coating (like a thin layer
                                    of aluminium) is applied on the outer curved surface, it forms
                                    a concave mirror. If the coating is applied on the inner curved
                                    surface, it forms a convex mirror.
                                                                                           Coated
                                   Imaginary                                               surface
                                     hollow
                                     sphere
                                                                          Reflecting                    Reflecting
                                                                           surface                       surface
                                                               A piece of
                                                              imaginary                Concave Convex
                                                             hollow sphere              mirror mirror
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                      Activity 10.2: Let us distinguish
                      z   Place concave and convex mirrors on a table                How can we distinguish
                          with their reflecting surfaces facing upwards.             between concave and
                      z   Now view them from the side, keeping your                  convex mirrors?
                          eye at their level, to identify whether the
                          reflecting surface is curved inwards or
                          outwards (Fig. 10.4).
                                                        Convex mirror
                                                 Concave mirror
                          Fig. 10.4: Identifying concave and convex mirrors from their side view
                      10.2 What Are the Characteristics of Images
                      Formed by Spherical Mirrors?
                      Activity 10.3: Let us explore
                      z   Take a concave mirror, a convex Concave             Convex
                          mirror, two small wooden blocks mirror              mirror
                          or something similar to place the
                          mirrors in an upright position, and
                          a small toy or some other object.                                                      Convex
                      z   Place the two mirrors side by side                                                     mirror
                          in an upright position on a table.
                          Keep the object in front of them at                                                   Concave
                          a small distance (3–4 cm away) as                                                      mirror
                          shown in Fig. 10.5a. What kind of
                          images do you see in each mirror?           (a)                         (b)
                          Are the images of the same size as    Fig. 10.5: An object placed in front of concave and
                          the object? Are they erect? Do you convex mirrors at (a) Small distance; (b) Large distance
                          see lateral inversion in the images?
                          Write down your observations in your notebook.
                      z   Now slowly move the object away from the mirrors. What
                          changes do you see in the images in both the mirrors? Do
                          the images become smaller or larger? Do they continue to be
                          erect? Again, note down your observations.
                      z   Repeat the steps with each mirror individually.
                      z   Analyse your observations and draw conclusions.
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                                            In the concave mirror, when the object is placed close to the
                                        mirror, the image is erect but larger than the object in size, that is,
                                        enlarged. However, when the object is moved farther away, the
                                        image becomes inverted. Initially, the image is enlarged in size and
                                        then keeps getting smaller. In case of a convex mirror, the image
                                        is always erect and smaller than the object, that is diminished.
                                        However, the size of the image decreases slightly as the object is
                                        moved away from the convex mirror.
                                            This activity shows that spherical mirrors (concave and
                                        convex) behave differently from plane mirrors. A plane mirror
                                        always forms an erect image of the same size as the object.
                                        However, in the concave and convex mirrors, the size of the
                                        image changes as the distance of the object from the mirror
                                        changes. In addition, in the case of a concave mirror, the image
                                        also gets inverted when the object is taken away from the mirror.
                                        Lateral inversion of the image is seen in all three types of mirrors.
                                            I just got an idea. We can also identify
                                            whether a mirror is plane, or concave,
                                            or convex by looking at the images of an
                                            object formed in them!
                                                                     Yes. But where do we
                                                                     find concave and convex
                                                                     mirrors being used in
                                                                     our surroundings?
                                                                The reflectors of torches, headlights of cars
                                                             and scooters are concave in shape (Fig. 10.6a).
                                                             Have you ever noticed a dental mirror used by
                                                             a dentist for inspecting teeth? It is a concave
                      (a)                     (b)            mirror which provides an enlarged view of teeth
              Fig. 10.6: Use of concave mirror (a) As a      when held close to the teeth inside the mouth
                reflector of a torch; (b) By a dentist       (Fig. 10.6b).
                                          A step further
                                          Do you remember learning about the use of telescope in the chapter
                                          ‘Beyond Earth’ in Curiosity, Grade 6? Most modern telescopes are
                                          reflecting telescope that use curved mirrors, with the main mirror
                                          being a large concave mirror.
                                           Look at the side-view mirrors on vehicles. These mirrors are
                                        convex. They always form an erect image of the traffic behind and
                                        smaller than the actual vehicles. Also, since the convex mirror is
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                                 (a)                            (b)                                 (c)
                             Fig. 10.7: Use of convex mirror as a (a) Side-view mirror; (b) Road safety mirror; (c)
                                                             Surveillance mirror
                      curved outside, it provides a much wider area of the road behind.
                      Further, such convex mirrors are installed at road intersections
                      or sharp bends to provide drivers
                      from both sides the visibility of the We have observed images formed by
                      other side and prevent collisions. three types of mirrors — plane, concave,
                      Convex mirrors are also installed and convex. But are there any laws
                      in big stores to monitor a large which govern the image formation?
                      area to deter thefts.
                        10.3 What Are the Laws of Reflection?
                      Let us now repeat an activity which we did earlier in grade 7,
                      but this time we will extend it further. Do you remember doing
                      the activity for observing the reflection of a beam of light from a
                      plane mirror?
                       Activity 10.4: Let us experiment
                       z   Collect a plane mirror with stand, a torch, a
                           comb, a paper clip to hold the comb upright, a
                           sheet of white paper, and a strip of black paper.
                       z   As you did earlier, make a thin slit by covering
                                                                                                  (a)
                           all openings of the comb using black paper,
                           except for one in the middle.
                       z   Spread a sheet of white paper on a table. Place
                           the plane mirror upright on it.
                       z   Using the thin slit and torch, obtain a thin beam
                           of light along the paper and adjust it to fall upon
                           the mirror as shown in Fig. 10.8a.
                       z   Now, move the slit and torch slightly so that the
                                                                                                 (b)
                           beam of light falls at a different angle on the
                                                                               Fig. 10.8: A beam of light falling on a
                           mirror (Fig. 10.8b). Does the reflected beam of            mirror (a) At one angle;
                           light also shift?                                            (b) At another angle
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                      Plane mirror
                                              z   Make the beam of light fall on the mirror at different angles
                                                  and observe how the direction of the reflected beam changes.
                                               To understand this better, let us draw this on a paper, step by
                          (a)
                                            step. But before doing that, let us learn how to represent light.
                                            We often represent light by straight lines with arrows, or rays.
                          O
                                            Rays indicate the path along which light travels. Do you remember
                                            learning earlier that the light travels along a straight line?
                                              z Draw a line showing the position of the plane mirror.
                                                Also, draw lines with arrows (rays) indicating the beam of
                                                light falling on the mirror and the reflected beam of light as
                                                shown in Fig. 10.9a.
                          (b)
                                   The ray of light that falls on the mirror is called the incident
                                ray. The ray of light that comes back from the mirror is called the
      Incident i r   Ref lected reflected ray.
        ray             ray
                                  z Now remove the mirror. From the point where the incident
                  normal            ray strikes the mirror, draw a line making an angle of 90° to the
                 (c)                line representing the mirror. This line is known as the normal
                                    to the reflecting surface at the point of incidence, O (Fig. 10.9b).
                                                The angle between the normal and the incident ray is called
                         i r                the angle of incidence (i) (Fig. 10.9c). The angle between the
                                            normal and the reflected ray is known as the angle of reflection
                                            (r) (Fig. 10.9c).
                                              z On your drawing, measure the angle of incidence and the
                   (d)                           angle of reflection and note it in Table 10.1.
          Fig. 10.9: (a) Drawing
          incident and ref lected
                                              z   Repeat the activity several times by changing the angle of
           rays; (b) Drawing the                  incidence.
            normal; (c) Angle of              z   Finally, let the incident beam fall on the mirror along the
          incidence and angle of
                                                  normal and observe the direction of the reflected beam.
                 reflection;
           (d) Measuring angles                   What would be the angle of incidence and angle of reflection
                                                  in this case? Both the angles would be zero in this case.
                                  Table 10.1: Measuring angles of incidence and reflection
                                S.No.          Angle of incidence (i )           Angle of reflection (r )
                                                Do you notice that both angles in Table 10.1 are nearly
                                            equal? If done carefully, the experiment shows that the angle of
                                            incidence (i) is equal to the angle of reflection (r). This is a law
                                            of reflection.
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                                                                          Chapter 10 — Light: Mirrors and Lenses   159
                       Activity 10.5: Let us experiment
                       z   Use the same setup as in Activity 10.4,
                           but place a stiff sheet of chart paper flat
                           on a table such that part of it extends
                           beyond the edge of the table.
                        z Shine a beam of light on the mirror
                           placed on the sheet and observe the
                           reflected beam on the extended portion
                           (Fig. 10.10a).
                        z Now, bend the extended part of the sheet
                           along the edge of the table. Do you still                          (a)
                           see the reflected beam on the extended
                           portion?
                        z Flatten the paper again and observe.
                      The reflected beam disappears when the
                      sheet is bent but reappears when it is
                      flattened again. This shows that the reflected
                      beam lies in the same plane as that of the
                      incident beam. Bending the sheet creates a
                      new plane, breaking this alignment.
                          The incident ray, the normal to the                                 (b)
                      mirror at the point of incidence, and the        Fig. 10.10: (a) Reflected beam visible along the
                      reflected ray, all lie in the same plane. extended portion of paper; (b) Reflected beam not
                      This is another law of reflection.                   visible along the bent portion of paper
                        A step further
                       In the two cases, even though the directions of incident rays are
                       different, they fall at the same point on the mirror, and thus, the
                       directions of normal are the same. However, the direction of the
                       reflected ray is such that the incident ray, the normal at the point of
                       incidence, and the reflected ray all lie in the same plane in both cases.
                                                                                 Incident ray
                                            Incident ray                          Normal
                                         Normal
                                                                                 Reflected ray
                                      Reflected ray
                           Mirror                             Mirror
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                             Are laws of reflection        The laws of reflection are valid for all kinds of
                             applicable to spherical       mirrors — plane and spherical. But if multiple
                             mirrors also?                 parallel rays fall on the spherical mirrors, we
                                                           observe something interesting.
                                                  Activity 10.6: Let us explore
                                                 z   Collect a plane mirror, a concave mirror, a convex
                                                     mirror, stand for mirrors, a torch, a comb, and a
                           (a)                       paper clip to hold the comb upright.
          Plane mirror                           z   Use the same setup as Activity 10.4 again, but instead
                                                     of a single slit, leave many openings of the comb
                                                     uncovered to obtain multiple parallel beams of light
                                                     (Fig. 10.11a).
                                                 z   Let the multiple parallel beams of light fall upon the
                           (b)
                                                     plane mirror, concave mirror, and convex mirror,
                                                     one by one. Observe the reflected beams. Is your
          Concave mirror                             observation similar to what is shown in Fig. 10.11
                                                     (b), (c), and (d)?
                                                  When multiple parallel beams of light fall upon a plane
                                               mirror, the multiple reflected beams are also parallel
                                               (Fig. 10.11b). However, when multiple beams of light fall
                                               upon a concave mirror, the multiple reflected beams get
                           (c)                 closer, that is, they converge (Fig. 10.11c). Whereas, in
           Convex mirror                       the case of a convex mirror, the multiple reflected beams
                                               spread, that is, they diverge (Fig. 10.11d).
                                                  In the case of spherical mirrors, even though each
                                               ray of light follows the laws of reflection, the curved
                                               surface of spherical mirrors causes the parallel beam of
                                               rays to either converge (concave) or diverge (convex) on
                           (d)                 reflection depending on the shape of the mirror.
           Fig. 10.11: (a) Multiple slits;      A step further
         Multiple parallel beams of light
          fall upon — (b) Plane mirror;
                (c) Concave mirror;             If we draw what we observed in Activity 10.6, we get the
                 (d) Convex mirror              figures like those shown below.
                                                     Plane mirror        Concave mirror    Convex mirror
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                                                                       Chapter 10 — Light: Mirrors and Lenses     161
                                    So, the concave mirror
                                    converges a light beam
                                    while the convex mirror        Since the concave
                                    diverges it. This is indeed    mirror converges the
                                    interesting!                   light beam, wouldn’t
                                                                   light get concentrated
                                                                   in a small area?
                       Activity 10.7: Let us explore
                       Safety first                                        tsriF ytefaS
                       Always perform this activity under the supervision of a teacher or
                       an adult. Do not look towards the Sun or into the mirror reflecting
                       the Sun. Focus the reflected light only on a piece of paper, not
                       towards anyone’s face or eyes.
                       z   Take a concave mirror and a sheet of thin paper
                           or newspaper.
                       z   Hold the concave mirror with its reflecting surface
                           facing the Sun. Direct the light of the Sun reflected
                           by the mirror on the sheet of paper.
                       z   Adjust the distance of the paper until you get a
                           sharp bright spot on it as shown in Fig. 10.12.                                      Concave
                       z   Hold the mirror and the sheet of paper steady                                         mirror
                           for a few minutes. Does the paper start to burn            Fig. 10.12: Converging sunlight on
                           producing smoke?                                             paper using a concave mirror
                         The bright spot is formed on the paper because light from the
                      Sun, after reflection from the mirror, gets concentrated on this
                      point. This produces sufficient heat at this point which can ignite
                      the paper.
                        A step further
                        Devices which concentrate sunlight into a small area, using mirrors
                        and lenses, are called solar concentrators. The concentrated sunlight
                        is used to heat a liquid to produce steam which can be used to
                        generate electricity or for providing heat for various purposes, such
                        as large scale cooking or for solar furnaces. Solar furnaces are even
                        used for melting steel! Do you remember learning in an earlier
                        chapter, about electric furnaces for melting steel?
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                                       10.4 What Is a Lens?
                                                                      Imagine looking through a flat
                             We explored the images of an
                                                                      transparent glass window pane — all
                             object formed by curved mirrors.
                             But how do objects look when             objects look the same size and shape.
                             viewed through transparent               But would those objects continue to
                             materials with curved surfaces?          look the same if the surface of the
                                                                      transparent material is curved?
                                       Activity 10.8: Let us explore
                                       z   Collect a flat strip of glass or clear plastic, such as a flat scale,
                                           few drops of oil, dropper, water, and a paper or book with
                                           some text printed on it.
                                       z   Spread a few drops of oil on the surface of glass or plastic
                                           strip and rub it to leave a very thin coating. You can also use
                                           wax instead of oil.
                                       z   Using a dropper or your finger, place a small drop of water
                                           on the oiled/waxed spot. (The oil/wax helps the water form a
                                           nice round drop.)
           Fig. 10.13: View of text    z   Examine the water drop. What is the shape of its surface? Is
           beneath the water drop          it flat or curved inward or curved outward?
                                       z   Place the paper underneath the glass/plastic strip such that
                                           the text is directly under the water drop (see Fig. 10.13).
                                       z   Now, look down through the water drop at the text below. Do
                                           you find some change in the size of the letters just below the
                                           water drop? Do they look enlarged or smaller?
                                    The surface of the water drop is curved outside. The letters
                                under the water drop look different — they might appear larger
                                than the letters nearby! The curved surface of the water drop
                                made the size of the text look different. This curved drop of water
                                is acting like a simple lens. Have you seen a magnifying glass as
                                shown in Fig. 10.14? It is also a lens that helps in reading small
                                print by making the letters appear bigger.
   Fig. 10.14: A magnifying glass                      A lens is a piece of transparent material,
                                                    usually made of glass or plastic, which has
                                                    curved surfaces. Like mirrors, lenses can also
                                                    be convex or concave.
                                                       A lens which is thicker at the middle as
                                                    compared to the edges is called a convex lens
                         (a)                (b)
                                                    (Fig. 10.15a).
                      Fig. 10.15: (a) A convex lens;
                          (b) Its representation
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                                                                      Chapter 10 — Light: Mirrors and Lenses      163
                         A lens which is thicker at the edges as
                      compared to the middle is called a concave
                      lens (Fig. 10.16b).
                         Unlike mirrors, lenses allow light to pass
                      through them, and we see things through a
                      lens rather than in a lens.                                     (a)                   (b)
                                                                                Fig. 10.16: (a) A concave lens;
                                                                                     (b) Its representation
                       What changes can be seen in the
                       objects when viewed through lenses?
                       Activity 10.9: Let us experiment
                       z   Collect a convex lens, a concave lens, a lens holder, and a
                           small object.
                        z Take the convex lens and place it upright using its holder.                (a)
                        z Place the object behind the convex lens (it may also be placed
                           on something to bring it up to the level of the lens).
                        z Look at the object through the lens from the other side of
                           the lens (Fig. 10.17a) and note your observations in your
                           notebook.
                        z Now slowly move the object farther from the lens and keep
                           observing how the image changes. How does the distance of
                           the object from the convex lens affect how it looks?
                        z Now repeat the steps using a concave lens.                                 (b)
                        z Analyse your observations recorded in your notebook
                           and compare the images seen through both lenses.
                           What conclusions do you draw?
                          When an object is placed behind a convex lens at a small
                      distance from it and seen through the lens, the object appears
                      erect and enlarged in size. As the distance between the object
                      and the convex lens increases, the object appears inverted. It is
                      initially enlarged in size and then diminishes in size. An object
                      placed behind a concave lens and seen through the lens, always
                      appears erect and diminished in size. Its size changes, as its                 (c)
                      distance from the lens increases.                                  Fig. 10.17: An object as
                                                                                               seen through a (a) Convex
                                 Do lenses also converge or                                        lens placed at small
                                                                                                distance; (b) Convex lens
                                 diverge the light beam?
                                                                                                placed at large distance;
                                                                                                     (c) Concave lens
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                                        Activity 10.10: Let us investigate
                                         z   Collect a thin transparent glass plate, a convex lens, a concave
                                             lens, a torch and a comb to obtain multiple parallel beams of
                                             light, a paper clip to hold the comb upright, two identical
                                             books, and sheets of white paper.
                                         z   Using two books placed adjacent to each other, fix the glass
                                             plate or lens upright in between them as shown in Fig. 10.18.
                                             Spread paper sheets on both books.
                                         z   Now let the multiple parallel beams of light fall upon the
                                             thin glass plate, convex lens, and concave lens one by one
                                             as shown in Fig. 10.18. Does the parallel beam of light pass
                                             through as it is in all three cases?
                                         z   Record and analyse your observations.
                                         The light beam passes through the thin glass plate as it is.
                                      The convex lens converges the light falling on it while the concave
                                      lens diverges the light. A convex lens is also called a converging
                                      lens while a concave lens is called a diverging lens.
                      Thin transparent glass plate                      Convex lens                       Concave lens
                                 (a)                                 (b)                                 (c)
                           Fig. 10.18: Multiple parallel beams of light fall upon the (a) Thin glass plate;
                                                  (b) Convex lens; (c) Concave lens
                                    A step further
                                    If we draw what we observed in Activity 10.10, we get the figures like
                                    those shown below.
                                                  Since convex lens converges a light
                                                  beam, can it also burn a paper?
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                                                                           Chapter 10 — Light: Mirrors and Lenses   165
                       Activity 10.11: Let us investigate
                        z   Repeat Activity 10.7 by putting       Safety first
                            a convex lens in the path of
                            sunrays in place of a concave        Do not look at the Sun directly or through
                            mirror. Could you burn the           the lens as it may damage your eyes.
                            paper?
                                                 Where all are the
                                                 lenses used?
                                                                               Convex
                                                                                lens
                         Lenses are important and are used
                                                                               Fig. 10.19: Converging sunlight on
                      everywhere around us. The eyeglasses that                     paper using a convex lens
                      people wear to help them see clearly are
                      lenses! Cameras, telescopes, and
                      microscopes all use lenses to work.
                      Even our eye has a convex lens
                      inside it. It is quite an amazing lens
                      that can change its shape, which is
                      what allows us to read a book or see                    (a)                        (b)
                      something far away.                    Fig. 10.20: (a) Eyeglasses; (b) Smartphone camera lenses
                            Snapshots
                               Image formed by a concave mirror can be enlarged, diminished or of the
                                same size as the object, and it may be erect or inverted, depending upon
                                the distance of the object from the mirror.
                               Image formed by a convex mirror is always erect and diminished in size.
                               Two laws of reflection are:
                                { The angle of incidence is equal to the angle of reflection.
                                { The incident ray, the normal to the mirror at the point of incidence,
                                   and the reflected ray, all lie in the same plane.
                               The laws of reflection are valid for all kinds of mirrors — plane, concave,
                                and convex.
                               A concave mirror converges the light beams while a convex mirror
                                diverges it.
                               Image formed by a convex lens can be enlarged, diminished or of the
                                same size as the object, and it may be erect or inverted, depending upon
                                the distance of the object from the mirror.
                               Image formed by a concave lens is always erect and diminished in size.
                               A convex lens converges the light beams while a concave lens diverges it.
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                                                                Keep the curiosity alive
                                                       1. A light ray is incident on a mirror and gets reflected by it
                                                          (Fig. 10.21). The angle made by the incident ray with the
                                 i     r                  normal to the mirror is 40°. What is the angle made by the
                                                          reflected ray with the mirror?
                                           Mirror
                                                           (i) 40°		      (ii) 50°    (iii) 45°  (iv) 60°
                             Fig. 10.21
                                                      2. Fig. 10.22 shows three different situations where a light ray
                                                           falls on a mirror:
                                                            (i) The light ray falls along the normal.
                                                                                        (ii) The mirror is tilted, but the
                                                                                             light ray still falls along the
                                                                           Incident ray
                                                      y
                                                                                             normal to the tilted surface.
                                                         a
            Incident ray
                                                                        20°
                                                    nt r
                                                                                            al
                                                                                       (iii) The mirror is tilted, and the
                                                                                          rm
                                                    ide
                                                                                             light ray falls at an angle of
                                                                                          No
                                                Inc
                                                          Mir                                20° from the normal.
                             Mirror                           ror            Mir
                                                                                 ror
                                                                                        Draw the reflected ray in each
                           (a)                         (b)
                                                                         (c)            case (Use a ruler and protractor
                                                    Fig. 10.22                          for accurate drawing). What is the
                                                                                        angle of reflection in each case?
                                                       3. In Fig. 10.23, the cap of a sketch pen is placed in front of three
                                                          types of mirrors.
                                                          (i)                                       (ii)               (iii)
                                                                                                 Fig. 10.23
                                                                Match each image with the correct mirror.
                                                                 Image                                        Mirror
                                                                   (i)             Plane mirror
                                                                   (ii)            Convex mirror
                                                                   (iii)           Concave mirror
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                                                                    Chapter 10 — Light: Mirrors and Lenses       167
                      4. In Fig. 10.24 the cap of a sketch
                         pen is placed behind a convex
                         lens, a concave lens, and a flat
                         transparent glass piece — all at the
                         same distance.
                         Match each image with the correct          (i)            (ii)                  (iii)
                         type of lens or glass.                                Fig. 10.24
                             Image                       Lens/glass type
                               (i)       Flat transparent glass piece
                               (ii)      Convex lens
                               (iii)     Concave lens
                      5. When the light is incident along the normal on the mirror,
                          which of the following statements is true:
                           (i) Angle of incidence is 90°		
                          (ii) Angle of incidence is 0°
                        (iii) Angle of reflection is 90°
                         (iv) No reflection of light takes
                               place in this case
                      6. Three mirrors — plane, concave
                         and convex are placed in
                         Fig. 10.25. On the basis of the
                         images of the graph sheet formed
                         in the mirrors, identify the                                       Fig. 10.25
                         mirrors and write their names
                         above the mirrors.
                      7. In a museum, a woman walks towards a large
                          convex mirror (Fig. 10.26). She will see that:
                           (i) her erect image keeps decreasing in size.
                          (ii) her inverted image keeps decreasing in size.
                        (iii) her inverted image keeps increasing in
                               size and eventually it becomes erect and
                               magnified.
                         (iv) her erect image keeps increasing in size.
                      8. Hold a magnifying glass over text and identify
                         the distance where you can see the text bigger             Fig. 10.26
                         than they are written. Now move it away
                         from the text. What do you notice? Which type of lens is a
                         magnifying glass?
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                                                9. Match the entries in Column I with those in Column II.
                                                               Column I                                         Column II
                                                                                        (a) Spherical mirror with a reflecting
                                                      (i) Concave mirror
                                                                                             surface that curves inwards.
                                                                                        (b) It forms an image which is always erect
                                                      (ii) Convex mirror
                                                                                             and diminished in size.
                                                                                        (c) 
                                                                                            Object placed behind it may appear
                                                      (iii) Convex lens
                                                                                            inverted at some distance.
                                                                                        (d) Object placed behind it always appears
                                                      (iv) Concave lens
                                                                                             diminished in size.
                                              10. The following question is based on Assertion/Reason.
                                                  Assertion: Convex mirrors are preferred for observing the
                                                  traffic behind us.
                                                     Reason: Convex mirrors provide a significantly larger view
                                                     area than plane mirrors.
                                                     Choose the correct option:
                                                      (i) Both Assertion and Reason are correct and Reason is the
                                                          correct explanation for Assertion.
                                                     (ii) Both Assertion and Reason are correct but Reason is not
                                                          the correct explanation for Assertion.
                                                    (iii) Assertion is correct but Reason is incorrect.
                                                    (iv) Both Assertion and Reason are incorrect.
                                              11. In Fig. 10.27, note that O stands for object, M for mirror, and
                                                  I for image.
           O          M                  I        Which of the following statements is true?
                        (a)                           (i) Figure (a) indicates a plane mirror and                                      Figure (b)
                                                          indicates a concave mirror.
                                                     (ii) Figure (a) indicates a convex mirror and                                      Figure (b)
           O          M                  I                indicates a concave mirror.
                        (b)                         (iii) Figure (a) indicates a concave mirror and                                     Figure (b)
                                                          indicates a convex mirror.
                      Fig. 10.27
                                                    (iv) Figure (a) indicates a plane mirror and                                       Figure (b)
                                                          indicates a convex mirror.
                      When?
                                                                              Prepare some questions based on your
                                                           Why not?
         Why?                                Where?                 learnings so far ...
                               How long?
                                                                    .....................................................................................
                                                                    .....................................................................................
                                                                    .....................................................................................
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                      12. Place a pencil behind a transparent glass tumbler
                          (Fig. 10.28a). Now fill the tumbler halfway with water
                          (Fig. 10.28b). How does the pencil appear when viewed
                          through the water? Explain why its shape appears changed.
                             Discover, design, and debate
                         z   Visit a nearby hospital or the clinic of an ENT specialist, or
                                                                                                                                               (a)                 (b)
                             a dentist, with your teacher or parents. Request the doctor
                                                                                                                                                     Fig. 10.28
                             to show you the mirrors used for examining ear, nose,
                             throat, and teeth. Identify the kind of mirror used in these
                             instruments.
                                                                        z   Harnessing sunlight is key to
                                                                            solving future energy challenges.
                                                                            In devices like solar cookers Science          Society
                                                                            (Fig. 10.29), mirrors are used to
                                                                            converge sunlight and generate           Inter-
                                                                            heat. In India, such designs are used disciplinary
                                                                            in villages, thus saving electricity    Projects
                                                                            and reducing fossil fuel use. Think
                                                                            of a design for a solar cooker for
                                                                            your school or home and prepare
                                      Fig. 10.29                            a detailed proposal for it including
                                                                            the budget required.
                         z   Use online tools or animation to do virtual experiments with
                             spherical mirrors and lenses. Move objects in the simulation
                             and observe how the image changes.
                          Our scientific heritage
                          More than 800 years ago, during the time of the great Indian
                          mathematician Bhāskara II, astronomers used shallow bowls of
                          water to observe the stars and planets. By carefully looking at their
                          reflected images through tubes placed at appropriate angles, they
                          could measure the positions of stars and planets in the sky. Even
                          though the laws of reflection are not mentioned in literature, their
                          instruments and methods indicate that they might have understood
                          it in practice!
                                                                                                                             I
                      Reflect on the questions framed by your                                                             think ...                   Shouldn’t it
                                                                                                                                   But we                be ...
                      friends and try to answer ...                                                                              thought ...   Maybe ...
                      .....................................................................................
                      .....................................................................................
                      .....................................................................................
                      .....................................................................................
                      .....................................................................................
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