1. The image formed by a plane mirror is always

2. In an object is placed beyond the center of curvature of a concave mirror, the image will be formed

3. A diverging lens can form only

4. When an object is placed at the focal length of a converging lens,

5. To project an image on a screen, the image must be

6. When light travels from air into glass, it slows down. Which of the following statements is true about the light in the glass?

a. The wavelength of the light remains the same as in air, but its frequency changes.

b. The wavelength of the light remains the same as in air and so does it frequency.

c. The frequency of the light remains the same as in air, but its wavelength changes.

d. The wavelength of the light increases, and its frequency decreases, compared to air.

7. What is the critical angle for a glass-water interface? The index of refraction for glass is 1.5 and for water is 1.33.

8. What is the frequency of 750 nm light?

a. 3 x 10¹² Hz b. 4 x 10¹⁴ Hz c. 5 x 10¹⁴ Hz

d. We do not have enough information to calculate the frequency.

9. As light travels into a less dense medium, which of the following statements is true?

a. The refracted light will bend toward the normal.

b. The refracted light will bend away from the normal.

c. The refracted light will not bend.

d. We cannot determine which direction the light will bend in reference to the normal.

10. Which of the following is true about the speeds of the colors of light in diamond?

a. Red light has the highest speed and violet the lowest.

b. Violet light has the highest speed and red the lowest.

c. Red light and violet light travel faster than yellow light.

d. All colors of light travel the same speed in diamond.

11. The condition for total internal reflection of occur is

a. light must travel perpendicularly between two different mediums.

b. light must travel into a denser medium.

c. light must travel into a less dense medium.

d. light must travel between two mediums of equal index of refraction.

12. What is the minimum length of a plane mirror in order that a person standing in front of the mirror can see his or her full reflection?

a. It must be twice his or her height.

b. It must be longer in length than the distance to the person.

13. If an object is between a concave mirror and the mirror's focal point, then the

a. object distance will be greater than the image distance.

b. image distance will be greater than the object distance.

14. If an object is placed closer to a convex mirror than the mirror's focal point, then the

15. The image through a positive lens is the same size as the object when

a. the object is at the focal point of the lens.

b. the image is on the same side as the object and the same distance from the lens as the object.

c. the image is on the opposite side from the object and the same distance from the lens as the object.

d. the image is on the opposite side from the object but further from the lens to the object.

16. Which of the following effects could not be observed for sound waves in air?

17. To produce a sustained interference pattern, the waves producing it must

18. For coherent rays of light to produce destructive interference, their path lengths must effectively

19. Which of the following conditions is not necessary in order that two light sources be coherent?

a. The two light sources must have the same wavelength.

b. The two light sources must have the same frequency.

c. The two light sources must have the same wave amplitude.

d. The two light sources must have the same phase shift.

20. In order that two identical light sources interfere destructively, their path lengths must

21. Which of the following statements are false about Young's double-slit experiment?

a. This experiment firmly established the wave theory of light.

b. This experiment provides a straightforward means for measuring the wavelengths of light.

c. The pattern observed on the screen consists of many bands.

d. This experiment lends support to the particle theory of light.

22. When light is diffracted by a single slit

a. the narrower the slit, the narrower the central diffraction maximum.

b. the narrower the slit, the wider the central diffraction maximum.

c. the width of the slit does not effect the width of the central maximum.

d. the observed phenomena is exactly what the Rayleigh criterion predicted.

23. Diffraction occurs when light passes

24. Which of the following phenomena cannot produce polarized light from unpolarized light?

25. What is the intensity of unpolarized light after passing through a polarizer?

26. At what angle of incidence in air is the reflected light from a piece of glass completely polarized?

27. A ray of light in air is incident on a flat piece of glass, at an angle of é = 54 ^ø with respect to the surface. The glass has index of refraction n = 1.8. What is the angle between the reflected and refracted rays?

28. An object of height 2 mm is placed 40 cm to the left of a converging lens whose focal length has magnitude 20 cm.

29. An object, 10 cm high, is 32 cm in front of a diverging lens whose focal length has magnitude 20 cm.

30. Light with a wavelength in air of 640 nm enters a glass plate where the index of refraction is 1.52.

31. a. What is the critical angle for a diamond-water interface?

b. What happens when incident light hits the interface at angles smaller than the critical angle?

c. What happens when incident light hits the interface at angles larger than the critical angle?

32. A small light source in the bottom of a tank of water 2.5 m deep emits light in all directions. An illuminated circle is formed at the surface because of internal reflection. What is the diameter of the circle?

33. A ray of light in air is incident on a flat piece of glass, at an angle of 41ø with respect to the normal. The glass has index of refraction 2.1. What is the angle between the reflected and the refracted rays?

34. Consider the image of your face in a mirror. It is desired that the image be virtual, erect, and 2.1 times the size of the object (your face). The object is 53 cm from the vertex of the mirror.

a. Calculate the radius of curvature of the mirror required to produce such an image.

b. Is the mirror convex or concave?

35. Light travels through a glass slab with parallel faces as shown. Calculate the distance, d, that it is displaced from its original Path. The index of refraction of the glass is 1.50.

36. When an object 3.0 cm long is placed 12 cm from a thin lens, an image of 7.5 cm long is formed on the opposite side of the lens. What is the focal length of the lens?

37. A particular lens has a focal length of +10.0 cm. How far from the lens should an object be located in order to produce an erect image that is 5 times as long as the object?

38. The radius of curvature of a spherical mirror is 20 cm. How far from the mirror should an object be located to produce a virtual image twice the size of the object?

39. A lens forms an image of an object. The object is 12 cm from the lens. The image is 8 cm from the lens on the same side as the object.

c. What is the magnification of the object?

40. Light of wavelength 431 nm passes through two slits. In the resulting interference pattern on a screen 3.9 m away, adjacent bright fringes are separated by 2.7 mm. What is the separation of the two slits?

41. When unpolarized light from air is incident on a piece of glass with index of refraction n = 1.41, the reflected light is found to be completely polarized when the angle of incidence is éB. What is the angle of refraction in this case?

42. Two slits separated by 0.001 cm are located at point S in the drawing. Distance L is 1.2 m and when light illuminates the slits, a diffraction pattern with the first bright area at y = 2.9 cm from the axis is formed. What is the wavelength of the light?

43. Two narrow slits are illuminated with light of wavelength 579 nm from a mercury lamp. The first order diffraction pattern is found at an angle of 16 ^ø from the central axis. What is the separation of the slits?

44. Polarized light with intensity of 1.0 W/m‚ is traveling in the x-direction. Its direction of polarization is the y-direction. It passes through two polarizers, the first oriented at 45ø to the y-axis and the second oriented at 90 ^ø to the y-axis. What is the intensity of the light passing through the second polarizer?

45. What is the Brewster angle for a water-diamond interface? The index of refraction for water is 1.33 and for diamond it is 2.42.

46. Light of exactly 6500 ï passes through double slits and bright fringes on a screen 1.5 m from the slits are 3 mm apart. What is the separation of the slits?

47. What is total internal reflection? Describe when this can occur.

48. If you immerse a ruler in a jar of water, it will appear bent. Explain. Draw a sketch of this situation

49. What is the condition for constructive interference of waves? What is the condition for destructive interference of waves?