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Ray Optics 3 Mark Book Back Question Paper With Answer Key

12th Standard

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Physics

Time : 00:45:00 Hrs
Total Marks : 99

     3 Marks

    33 x 3 = 99
  1. What is optical path? Obtain the equation for optical path.

  2. State the laws of reflection.

  3. Obtain the equation for apparent depth.

  4. What are critical angle and total internal reflection?

  5. Obtain the equation for critical angle.

  6. What are the chracteristics of the image formed by the plane mirror

  7. Derive the relation between f and R for a spherical mirror.

  8. Arrive at lens equation from lens maker’s formula.

  9. Obtain the equation for lateral magnification of thin lens.

  10. Derive the equation for effective focal length for lenses in contact.

  11. What are resolution and resolving power?

  12. Derive the equations for thin lens and for magnification.

  13. A compound microscope has a magnification of 30. The focal length of eye piece is 5 cm Assuming the final image to be at least distance of distinct vision, find the magnification produced by the objective.

  14. A small bulb is placed at the bottom of a tank containing water to a depth of 80 cm, What is the area of the surface of water through which light from the bulb can emerge out? Refractive index of water is 1.33. (Consider the bulb to be a point source.)

  15. A thin converging lens of refractive index 1.5 has a power of + 5.0 D. When this lens is immersed in a liquid of refractive index n, it acts as a divergent lens of focal length 100 cm. What must be the value of n?

  16. If the distance D between an object and screen is greater than 4 times the focal length f of a convex lens, then there are two positions for which the lens forms an enlarged image and a diminished image respectively. This method is called conjugate foci method. If d is the distance between the two positions of the lens, obtain the equation for focal length of the convex lens.

  17. In Young's double-slit experiment, the slits are 2 mm apart and are illuminated with a mixture of two-wavelength λ= 750 nm and λ = 900mm. What is the minimum distance from the common central bright fringe on a screen 2 m from the slits where a bright fringe from one interference pattern coincides with a . bright fringe from the other?

  18. In Young's double slit experiment, 62 fringes are seen in visible region for sodium light of wavelength 5893 Å. If violet light of wavelengtlt 4359 Å is used in place of sodium light, then what is the number of fringes seen?

  19. An object is placed at a distance of 20.0 cm from a concave mirror of focal length 15.0 cm.
    (a) What distance from the mirror a screen should be placed to get a sharp image?
    (b) What is the nature of the image?

  20. A thin rod of length f /3 is placed along the optical axis of a concave mirror of focal length f such that one end of image which is real and elongated just touches the respective end of the rod. Calculate the longitudinal magnification.

  21. Light travels from air into a glass slab of thickness 50 cm and refractive index 1.5.
    (i) What is the speed of light in the glass?
    (ii) What is the time taken by the light to travel through the glass slab?
    (iii) What is the optical path of the glass slab?

  22. What is the radius of the illumination when seen above from inside a swimming pool from a depth of 10 m on a sunny day? What is the total angle of view? [Given, refractive index of water is 4/3]

  23. The thickness of a glass slab is 0.25 m. It has a refractive index of 1.5. A ray of light is incident on the surface of the slab at an angle of 60o. Find the lateral displacement of the light when it emerges from the other side of the glass slab.

  24. Find the position of the image of a point object O in the two cases given. Take the radius of curvature of the surface R as 15 cm, n1 = 1 and n2 = 2.
    Case i) O is located 10 cm to the left of the surface.
    Case ii) O is located 30 cm to the left of the surface.

  25. Find the size of the image formed in the given figure

  26. A biconvex lens has radii of curvature 20 cm and 15 cm for the two curved surfaces. The refractive index of the material of the lens is 1.5.
    (a) What is its focal length?
    (b) Will the focal length change if the lens is flipped by the side?

  27. Determine the focal length of the lens made up of a material of refractive index 1.52 as shown in the diagram. (Points C1 and C2 are the centers of curvature of the first and second surfaces respectively.)

  28. What is the focal length of the combination if the lenses of focal lengths –70 cm and 150 cm are in contact? What is the power of the combination?


  29. An object of 5 mm height is placed at a distance of 15 cm from a convex lens of focal length 10 cm. A second lens of focal length 5 cm is placed 40 cm from the first lens and 55 cm from the object. Find (a) the position of the final image, (b) its nature and (c) its size.

  30. Light ray falls at normal incidence on the first face and emerges gracing the second face for an equilateral prism.
    (a) What is the angle of deviation produced?
    (b) What is the refractive index of the material of the prism?

  31. It is possible for two lenses to produce zero power?

  32. Why is yellow light preferred to during fog?

  33. A beam of light of wavelength 600 nm from a distance source falls on a single slit 1.00 mm wide and the resulting diffraction pattern is observed on a screen 2 m away, what is the distance between the first dark fringes on either side of the central bright fringe?

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