1. How does the radius of curvature of the lens vary with its surface curvatures?

2. What is the magnification of the positive lens (focal length of +15 cm) when it forms an

image to an object that is 30 cm away?

3. Deduce the optical path difference for the 3rd order dark fringe in Young’s double – slit

experiment.

4. We would like to place an object 45 cm in front of a lens and have its image appear on a

screen 90 cm behind the lens. What must be the focal length of the appropriate positive

lens? Sketch a ray diagram and describe the formed image.

5. A candle that is 6 cm tall is standing 10 cm from a concave lens whose focal length is -30

cm Determine the location of the image and describe it in detail. Draw an appropriate ray

diagram.

6. Prove that the minimum separation between the conjugate object and image points for a

thin positive lens is 4f.

7. The index of refraction for violet light in silica flint glass is 1.66, and that for red light is

1.62. What is the angular dispersion of visible light passing through a prism of apex angle

60.0° if the angle of incidence is 50.0°?

8. As light travels from one medium to another, does the wavelength of the light change?

Does the frequency change? Does the speed change? Explain.

9. Show that the bright fringes and dark fringes are of the same width

10. Explain how coherent sources are produced in Llyod's mirror.

11. How will you prove that when light gets reflected from a denser medium there is a phase

change of π, using Lloyd's mirror experiment?

12. Define refractive index in terms of velocity of light.

13. When a light ray passes from one medium to another the ray bends at the surface of

separation. Why?

14. What is optical path? How is it related to refractive index?

15. Write down the equation for the determination of velocity of light by Michelson's

interferometer.

16. Explain the principle of superposition of waves.

17. What is interference?

18. What are the conditions under which two sources are coherent?

19. Can two lighted candles acts as coherent sources? Give reasons.

20. Distinguish between the interference by (i) division of wavefront and (ii) division of

amplitude.

21. Does the phenomenon of interference obey the law of conservation of energy? Explain.

22. Define fringe width. How can you increase the fringe width?

23. Why black glass is used in Lloyd's mirror experiment?

24. "The central fringe in the Lloyd's mirror experiment is dark." Why?

25. Can we obtain coherent sources from one incoherent source? Give an example.

26. Two slits in Young's double slit experiment are illuminated by two different sodium lamps

emitting light of same wavelength. Do you observe any interference pattern on the

screen?

27. Explain the statement "light added to light can produce darkness".

28. What is the phase difference between any two points on a wavefront?

29. Is it possible to produce interference using longitudinal wave?

30. Is there any phase change when a light wave undergoes (i) reflection and (ii) refraction?

31. Which of the following quantities change when a light wave undergoes (a) reflection and

(b) refraction (/) velocity (ii) frequency and (iii) wavelength?

Complete the following table:

Object Location Convex lens Image

Type Location Orientation Relative Size

Type: Real or Virtual Orientation: Erect of Inverted Relative Size: Minified, Magnified, or same size

Complete the following table:

Interference Parameter

Young Double - Slit

Lloyd’s Mirror

Michelson’s Interferometer

Interference Principle

Fringes Shape

Central Fringe Type

Central Fringe Equation

Coherent Sources

Coherent Sources Type

Object Location Concave lens Image

Type Location Orientation Relative Size

Anywhere