ROUTERA


Ray Optics and Optical Instruments

Class 12th Physics Chapter Assertion and Reason


Assertion and Reason Questions Chapter-9 Ray Optics and Optical Instruments

Assertion (A) and other labelled Reason (R). Select the correct answer to these questions from the options as given below.

A. Both A and R are true, and R is the correct explanation of A.

B. Both A and R are true, but R is not the correct explanation of A.

C. A is true, but R is false.

D. A is false, but R is true.


1. Assertion (A): The angle of incidence is always equal to the angle of reflection.

Reason (R): This is a fundamental property of reflection.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: According to the law of reflection, the angle of incidence equals the angle of reflection, confirming R as the explanation for A.

2. Assertion (A): A concave lens is also known as a diverging lens.

Reason (R): Concave lenses cause parallel rays of light to converge at a point.

  • (b) A is true, but R is false.
  • Answer: (b)
    Explanation: Concave lenses diverge light rays, rather than converging them, hence R is false.

3. Assertion (A): The focal length of a convex lens is positive.

Reason (R): Convex lenses converge light rays to a point on the opposite side of the lens.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Convex lenses have a positive focal length because they focus light to a point on the opposite side.

4. Assertion (A): The power of a lens is defined as the reciprocal of its focal length.

Reason (R): Power is measured in diopters, which is the unit of focal length.

  • (b) A is true, but R is false.
  • Answer: (b)
    Explanation: Power is the reciprocal of focal length in meters; thus, while A is true, R is misleading.

5. Assertion (A): Total internal reflection can occur only when light travels from a denser to a rarer medium.

Reason (R): Total internal reflection occurs at angles greater than the critical angle.

  • (b) A is true, but R is false.
  • Answer: (b)
    Explanation: Total internal reflection occurs from a denser to a rarer medium; hence, R must be true, while A is false.

6. Assertion (A): A virtual image cannot be projected on a screen.

Reason (R): A virtual image is formed by rays that do not actually converge.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Virtual images are formed by diverging rays, making them impossible to project onto a screen.

7. Assertion (A): The focal length of a concave lens is negative.

Reason (R): A concave lens causes parallel rays of light to diverge.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Concave lenses have a negative focal length, as they diverge light rays.

8. Assertion (A): Light behaves as a particle and a wave in different situations.

Reason (R): This dual nature is responsible for phenomena such as diffraction and photoelectric effect.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Light's dual nature allows it to exhibit wave properties (like diffraction) and particle properties (like in the photoelectric effect).

9. Assertion (A): The image formed by a convex mirror is always virtual.

Reason (R): Convex mirrors always diverge light rays.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Convex mirrors diverge light rays, leading to the formation of virtual images.

10. Assertion (A): The focal length of a plane mirror is infinity.

Reason (R): Light rays reflected from a plane mirror do not converge or diverge.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: A plane mirror's focal length is considered to be infinite because it does not converge light.

11. Assertion (A): In a microscope, the objective lens has a short focal length.

Reason (R): Short focal lengths are needed to magnify small objects.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The objective lens needs a short focal length to achieve higher magnification for small objects.

12. Assertion (A): Lenses are classified into two main categories: convex and concave.

Reason (R): This classification is based on their shape and the way they bend light.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The classification of lenses is indeed based on their shape and their light-bending behavior.

13. Assertion (A): A Ray diagram can be used to locate the position of an image formed by a lens.

Reason (R): Ray diagrams show the path of light rays through optical devices.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Ray diagrams effectively illustrate how light travels through lenses, helping to locate image positions.

14. Assertion (A): The angle of deviation is maximum for a prism at the critical angle.

Reason (R): Total internal reflection occurs at angles greater than the critical angle.

  • (b) A is false, but R is true.
  • Answer: (b)
    Explanation: The angle of deviation is maximum at the minimum angle of incidence, not at the critical angle, making A false.

15. Assertion (A): A ray of light passes through the center of curvature of a spherical mirror without changing its direction.

Reason (R): The center of curvature is a point on the principal axis of the mirror.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: A ray passing through the center of curvature strikes normally, thus continuing in the same direction.

16. Assertion (A): The image formed by a concave mirror can be real or virtual.

Reason (R): The nature of the image depends on the position of the object relative to the focal point.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: A concave mirror produces a real image when the object is beyond the focal point and a virtual image when it is within the focal point.

17. Assertion (A): The distance of the object and the image from the optical center of a lens are related by the lens formula.

Reason (R): The lens formula describes the relationship between object distance, image distance, and focal length.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The lens formula (1/f = 1/v - 1/u) mathematically relates object distance (u), image distance (v), and focal length (f).

18. Assertion (A): An optical fiber transmits light through total internal reflection.

Reason (R): This principle allows for the efficient transfer of light over long distances.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Optical fibers rely on total internal reflection, enabling effective light transmission with minimal loss.

19. Assertion (A): The brightness of an image depends on the size of the aperture of the lens.

Reason (R): A larger aperture allows more light to enter the lens, increasing brightness.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: A larger aperture lets in more light, enhancing the brightness of the image formed by the lens.

20. Assertion (A): In a simple microscope, the image is always virtual.

Reason (R): Virtual images appear on the same side as the object.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: A simple microscope produces virtual images that appear on the same side as the object.

21. Assertion (A): A larger focal length in a lens results in a lower magnification.

Reason (R): Lower magnification occurs due to less bending of light rays.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: A larger focal length means less bending of rays, leading to lower magnification in a lens.

22. Assertion (A): The critical angle for total internal reflection is dependent on the medium.

Reason (R): The critical angle is calculated based on the refractive indices of the two media.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The critical angle is indeed a function of the refractive indices of the involved media.

23. Assertion (A): The formula for finding the position of the image in a convex lens is 1/f = 1/v - 1/u.

Reason (R): This is derived from the properties of light refraction in lenses.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The lens formula relates image distance, object distance, and focal length based on the principles of refraction.

24. Assertion (A): The speed of light is different in different media.

Reason (R): The refractive index of a medium is defined as the ratio of the speed of light in vacuum to the speed of light in the medium.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Different media have different speeds of light, and the refractive index quantifies this difference.

25. Assertion (A): A rainbow is formed due to the refraction of light in water droplets.

Reason (R): Light refracts, reflects, and disperses in the droplets to create a spectrum.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: A rainbow is the result of light being refracted and dispersed as it passes through water droplets.

26. Assertion (A): The principal focus of a concave mirror is located in front of the mirror.

Reason (R): The principal focus is the point where rays parallel to the principal axis converge.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: In a concave mirror, parallel rays converge in front of the mirror at the principal focus.

27. Assertion (A): The focal length of a convex lens is equal to the distance from the lens to its focal point.

Reason (R): The focal point is where light rays converge after passing through the lens.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The focal length measures the distance from the lens to the point where light rays converge.

28. Assertion (A): Lenses can cause chromatic aberration.

Reason (R): Different wavelengths of light refract at different angles in a lens.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Chromatic aberration occurs when different colors of light focus at different points due to varying refractive indices.

29. Assertion (A): The power of a lens is the ability to converge or diverge light.

Reason (R): Power is calculated as the inverse of the focal length.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The power indicates how effectively a lens converges or diverges light, calculated from its focal length.

30. Assertion (A): A convex lens can form both real and virtual images.

Reason (R): The type of image formed depends on the object distance relative to the focal length.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Convex lenses can create real images when the object is beyond the focal length and virtual images when it is within the focal length.

31. Assertion (A): The angle of incidence is always less than the angle of refraction when light travels from air to glass.

Reason (R): Light slows down when entering a denser medium, bending toward the normal.

  • (b) A is false, but R is true.
  • Answer: (b)
    Explanation: The angle of incidence is generally greater than the angle of refraction when moving from air to glass, making A false.

32. Assertion (A): The distance from the optical center to the principal focus of a lens is called its focal length.

Reason (R): Focal length is a key parameter in defining the optical properties of a lens.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The distance from the optical center to the principal focus is indeed defined as the focal length of the lens.

33. Assertion (A): The critical angle is larger for denser media compared to rarer media.

Reason (R): A larger critical angle indicates a greater degree of bending of light rays.

  • (b) A is false, but R is true.
  • Answer: (b)
    Explanation: The critical angle is smaller for denser media; hence, A is false while R is true.

34. Assertion (A): The image formed by a plane mirror is always upright.

Reason (R): An upright image is formed due to the normal incidence of light rays.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Plane mirrors always create upright images due to the reflection of light rays.

35. Assertion (A): A lens that is thicker in the middle than at the edges is a concave lens.

Reason (R): A concave lens diverges light rays.

  • (b) A is false, but R is true.
  • Answer: (b)
    Explanation: A lens thicker in the middle is a convex lens, making A false while R is true.

36. Assertion (A): Light travels faster in a vacuum than in any medium.

Reason (R): The speed of light in a medium is always less than its speed in a vacuum.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Light's speed is highest in a vacuum and decreases in any other medium due to interactions with the medium's particles.

37. Assertion (A): The image distance is negative for virtual images formed by a concave lens.

Reason (R): The convention for image distance is that negative values indicate virtual images.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: For virtual images, image distance is conventionally considered negative, especially for concave lenses.

38. Assertion (A): The focal length of a convex lens increases with an increase in the radius of curvature.

Reason (R): A larger radius of curvature results in a flatter lens profile.

  • (b) A is true, but R is false.
  • Answer: (b)
    Explanation: While A is true, R is misleading because a larger radius actually leads to a shorter focal length in a convex lens.

39. Assertion (A): The position of the image formed by a concave lens can be determined using the lens formula.

Reason (R): The lens formula applies to both convex and concave lenses.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The lens formula applies universally to both types of lenses, allowing for image position determination.

40. Assertion (A): A ray of light parallel to the principal axis will pass through the focal point after refraction through a convex lens.

Reason (R): This is due to the converging nature of a convex lens.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The property of a convex lens causes parallel rays to converge at the focal point.

41. Assertion (A): A virtual image can be projected onto a screen.

Reason (R): Virtual images are formed by diverging rays.

  • (b) A is false, but R is true.
  • Answer: (b)
    Explanation: Virtual images cannot be projected because they result from diverging rays, making A false.

42. Assertion (A): The magnification produced by a lens is defined as the ratio of the height of the image to the height of the object.

Reason (R): Magnification can be greater than one.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Magnification is indeed the ratio of image height to object height and can exceed one in certain situations.

43. Assertion (A): The distance between two consecutive bright fringes in an interference pattern is called fringe width.

Reason (R): Fringe width is dependent on the wavelength of light used.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Fringe width is defined based on the spacing of bright fringes and is influenced by the wavelength of light.

44. Assertion (A): The power of a lens is positive for a convex lens.

Reason (R): Convex lenses converge light, giving them positive focal lengths.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Convex lenses have positive power due to their ability to converge light rays.

45. Assertion (A): The image formed by a concave mirror can be real or virtual depending on the object position.

Reason (R): The type of image formed is always real when the object is beyond the center of curvature.

  • (b) A is true, but R is false.
  • Answer: (b)
    Explanation: While A is true, R is false because a concave mirror can also produce virtual images when the object is within the focal length.

46. Assertion (A): The radius of curvature of a lens is always positive for a converging lens.

Reason (R): The convention assigns positive values to converging lenses.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: By convention, converging lenses are assigned a positive radius of curvature.

47. Assertion (A): Light rays passing through the focal point of a concave lens diverge after refraction.

Reason (R): Concave lenses always cause rays to diverge, regardless of their initial direction.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Concave lenses cause all incoming rays directed through the focal point to diverge.

48. Assertion (A): Total internal reflection can occur when light travels from a denser medium to a rarer medium.

Reason (R): The angle of incidence must exceed the critical angle for total internal reflection.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Total internal reflection requires light to move from denser to rarer media at angles exceeding the critical angle.

49. Assertion (A): The focal point of a lens can be determined experimentally using a distant light source.

Reason (R): Light rays from a distant source are parallel, allowing for easy measurement of the focal length.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Using a distant source simplifies finding the focal point as parallel rays converge at the focal length.

50. Assertion (A): An increase in the refractive index of a medium leads to a decrease in the speed of light within that medium.

Reason (R): The refractive index is defined as the ratio of the speed of light in vacuum to that in the medium.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: A higher refractive index indicates that light travels more slowly in the medium compared to a vacuum.