E X E R C I S E S CHAPTER 9 Light – Reflection and Refraction SCIENCE NCERT TEXTBOOK (CBSE) CLASS 10:

 E X E R C I S E S  

CHAPTER  9  Light – Reflection and  Refraction


1. Which one of the following materials cannot be used to make a lens?

  • Answer: (d) Clay
    • Explanation: Lenses are typically made from materials like glass or plastic, which have optical properties that can bend light. Clay, on the other hand, does not have these properties and is not suitable for lens-making.

2. The image formed by a concave mirror is observed to be virtual, erect, and larger than the object. Where should the position of the object be?

  • Answer: (d) Between the pole of the mirror and its principal focus.
    • Explanation: In a concave mirror, if the object is placed between the pole and the focus (closer to the mirror than the focal point), the image formed will be virtual, erect, and magnified.

3. Where should an object be placed in front of a convex lens to get a real image of the size of the object?

  • Answer: (a) Between the optical centre of the lens and its principal focus.
    • Explanation: To form a real image of the same size as the object using a convex lens, the object should be placed at twice the focal length (2F), which is between the optical center and the focus.

4. A spherical mirror and a thin spherical lens have each a focal length of –15 cm. The mirror and the lens are likely to be:

  • Answer: (a) Both concave.
    • Explanation: A negative focal length indicates that both the spherical mirror (concave) and the spherical lens (concave lens) are diverging. Concave mirrors and concave lenses both have negative focal lengths.

5. No matter how far you stand from a mirror, your image appears erect. The mirror is likely to be:

  • Answer: (d) Either plane or convex.
    • Explanation: A plane mirror always forms an erect, virtual image. A convex mirror also forms an erect, virtual image regardless of the object’s position.

6. Which of the following lenses would you prefer to use while reading small letters found in a dictionary?

  • Answer: (c) A convex lens of focal length 5 cm.
    • Explanation: A convex lens with a short focal length (5 cm) is suitable for reading small letters because it has a stronger converging power, making it ideal for near objects like a dictionary.

7. We wish to obtain an erect image of an object, using a concave mirror of focal length 15 cm. What should be the range of distance of the object from the mirror? What is the nature of the image? Is the image larger or smaller than the object? Draw a ray diagram to show the image formation in this case.

  • Answer: The object should be placed between the pole and the focal point of the concave mirror (less than 15 cm). The image formed will be virtual, erect, and magnified.

  • Ray Diagram:

    • The ray diagram for this case shows the object placed closer than the focal point of the concave mirror, resulting in a magnified, erect, and virtual image.

8. Name the type of mirror used in the following situations:

  • (a) Headlights of a car: Concave mirror (Focuses light to a single point for better illumination.)
  • (b) Side/rear-view mirror of a vehicle: Convex mirror (Forms a smaller, erect image and provides a wide field of view.)
  • (c) Solar furnace: Concave mirror (Concentrates sunlight to a focal point to generate heat.)

9. One-half of a convex lens is covered with black paper. Will this lens produce a complete image of the object? Verify your answer experimentally. Explain your observations.

  • Answer: Yes, the convex lens will still produce a complete image. When half of a convex lens is covered, the remaining half can still bend light to form a complete image, though the intensity of the image will be reduced. The image will still be formed as the entire lens is not needed to form the image.

10. An object 5 cm in length is held 25 cm away from a converging lens of focal length 10 cm. Draw the ray diagram and find the position, size, and nature of the image formed.

  • Answer:
    • Ray Diagram:
      • Object placed at 25 cm and focal length is 10 cm.
      • Using the lens formula: 1f=1v1u\frac{1}{f} = \frac{1}{v} - \frac{1}{u} 110=1v125\frac{1}{10} = \frac{1}{v} - \frac{1}{-25}Solving gives v=16.67cm.
    • Nature of the image: Real, inverted, and reduced in size.
    • Size of the image: Use magnification formula m=vu×object sizem = \frac{v}{u} \times \text{object size}.

11. A concave lens of focal length 15 cm forms an image 10 cm from the lens. How far is the object placed from the lens? Draw the ray diagram.

  • Answer:
    • Using the lens formula: 1f=1v1u\frac{1}{f} = \frac{1}{v} - \frac{1}{u} 115=1101u\frac{1}{-15} = \frac{1}{10} - \frac{1}{u} Solving gives u=30u = -30cm (object is placed 30 cm from the lens).
    • Ray Diagram: The image will be virtual, upright, and diminished.

12. An object is placed at a distance of 10 cm from a convex mirror of focal length 15 cm. Find the position and nature of the image.

  • Answer:
    • Using the lens formula: 1f=1v1u\frac{1}{f} = \frac{1}{v} - \frac{1}{u} 115=1v110\frac{1}{15} = \frac{1}{v} - \frac{1}{-10} Solving gives v=6 (virtual image).
    • Nature of image: Virtual, erect, and diminished.

13. The magnification produced by a plane mirror is +1. What does this mean?

  • Answer: A magnification of +1 means that the image is the same size as the object and it is upright (virtual image) in a plane mirror.

14. An object 5.0 cm in length is placed at a distance of 20 cm in front of a convex mirror of radius of curvature 30 cm. Find the position of the image, its nature, and size.

  • Answer:
    • Focal length f=R2=15cm.
    • Using the lens formula: 1f=1v1u\frac{1}{f} = \frac{1}{v} - \frac{1}{u} 115=1v120\frac{1}{15} = \frac{1}{v} - \frac{1}{-20} Solving gives v=12v = -12 cm (virtual, diminished).
    • Nature: Virtual, erect, and diminished.

15. An object of size 7.0 cm is placed at 27 cm in front of a concave mirror of focal length 18 cm. At what distance from the mirror should a screen be placed, so that a sharp focused image can be obtained? Find the size and the nature of the image.

  • Answer:
    • Using the lens formula: 1f=1v1u\frac{1}{f} = \frac{1}{v} - \frac{1}{u} 118=1v127\frac{1}{-18} = \frac{1}{v} - \frac{1}{-27}Solving gives v=54v = 54 cm (real and inverted).
    • Size of the image: Use magnification formula to calculate the size.

16. Find the focal length of a lens of power –2.0 D. What type of lens is this?

  • Answer:
    • Focal length f=1P=12.0=50f = \frac{1}{P} = \frac{1}{-2.0} = -50cm.
    • Type of lens: Diverging lens (concave lens).

17. A doctor has prescribed a corrective lens of power +1.5 D. Find the focal length of the lens. Is the prescribed lens diverging or converging?

  • Answer:
    • Focal length f=1P=11.5=66.67f = \frac{1}{P} = \frac{1}{1.5} = 66.67cm.
    • Type of lens: Converging lens (convex lens).

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