Wave Optics. b. the crest from one wave overlaps with the d. darkness cannot occur as the two waves are coherent.

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1 Wave Optics 1. Two beams of coherent light are shining on the same piece of white paper. With respect to the crests and troughs of such waves, darkness will occur on the paper where: a. the crest from one wave overlaps with the c. the troughs from both waves overlap. crest from the other. b. the crest from one wave overlaps with the d. darkness cannot occur as the two waves trough from the other. are coherent. 2. After light from a source passes through two slits, a first order bright spot is seen on the wall at point P. Which distance is equal to the wavelength of the light? a. the extra distance one beam must travel c. the distance of point P from the central point of the interference pattern b. the distance between beams as they leave the slit d. the distance between slits 3. That light can undergo interference is evidence that it: a. has electric properties. c. behaves like a wave. b. is made of corpuscles. d. has a phase of When light passes from a material with a high index of refraction into material with a low index of refraction: a. none of the light is reflected. c. some light is reflected with a 180 change of phase. b. some light is reflected without a change of phase. d. the light that is not reflected has a 180 change of phase. 5. Upon reflection, light undergoes a 180 phase change: a. always. c. if the incident medium has the lower index of refraction. b. if the incident medium has the higher index of refraction. d. whenever the incident angle is less than the critical angle. 6. A Young s double slit has a slit separation of m on which a monochromatic light beam is directed. The resultant bright fringes on a screen 1.00 m from the double slit are separated by m. What is the wavelength of this beam? (1 nm = 10 9 m) a. 373 nm c. 575 nm b. 454 nm d. 667 nm 7. Two narrow slits are mm apart. When a laser shines on them, bright fringes form on a screen that is a meter away. These fringes are 3.0 cm apart. What is the separation between the second order bright fringe and the central fringe? a. 8.6 cm c. 5.3 cm b. 6.0 cm d. 2.6 cm 1

2 Name: 8. A Young s double-slit apparatus is set up so that a screen is positioned 1.6 m from the double slits, and the spacing between the two slits is mm. What is the distance between alternating bright fringes on the screen if the light source has a wavelength of 630 nm? (1 nm = 10 9 m) a m c m b m d m 9. A Young s double-slit apparatus is set up. A screen is positioned 1.60 m from the double slits, and the spacing between the two slits is mm. The distance between alternating bright fringes is 1.42 cm. What is the light source wavelength? (1 nm = 10 9 m) a. 710 nm c. 280 nm b. 490 nm d. 355 nm 10. A Young s double-slit apparatus is set up where a screen is positioned 0.80 m from the double slits. If the distance between alternating bright fringes is 0.95 cm, and the light source has a wavelength of 580 nm, what is the separation of the double slits? (1 nm = 10 9 m) a m c m b m d m 11. A Young s double-slit apparatus is set up. The source wavelength is 430 nm, and the double-slit spacing is mm. At what distance from the double slits should the screen be placed if the spacing between alternating bright fringes is to be 2.4 cm? (1 nm = 10 9 m) a. 1.6 m c. 2.4 m b. 2.2 m d. 2.9 m 12. Waves from a radio station with a wavelength of 600 m arrive at a home receiver a distance 50 km away from the transmitter by two paths. One is a direct-line path and the second by reflection from a mountain directly behind the receiver. What is the minimum distance between the mountain and receiver such that destructive interference occurs at the location of the listener? Assume no phase change on reflection. a. 150 m c. 450 m b. 300 m d. 600 m 13. If the 2nd order fringe in Young s double-slit experiment occurs at an angle of 45.0, what is the relationship between the wavelength and the distance between slits, d? a. d = 1.41 c. d = 2.83 b. d = 2.00 d. d = A Young s interference experiment is conducted with blue-green argon laser light ( = 515 nm). The separation between the slits is 0.50 mm, and the interference pattern appears on a screen 3.3 m away. What is the spacing between the bright fringes? (1 nm = 10 9 m) a. 1.7 mm c. 5.1 mm b. 3.4 mm d. 6.8 mm 15. In a Young s double-slit experiment, how many maxima occur between the 4 th order maxima? a. 6 c. 8 b. 7 d. Three more than the number of minima. 16. What is the minimum thickness of a glycerin film (n = 1.47) on which light of wavelength 600 nm shines that results in constructive interference of the reflected light? Assume the film is surrounded front and back by air. a. 75 nm c. 150 nm b. 102 nm d. 204 nm 2

3 Name: 17. A possible means for making an airplane radar-invisible is to coat the plane with an antireflective polymer. If radar waves have a wavelength of 4.8 cm, and the index of refraction of the polymer is n = 1.6, how thick would the coating be if a 180 phase change occurs at both surfaces? a. 32 mm c. 7.5 mm b. 24 mm d. 6.0 mm 18. Light of wavelength 540 nm is incident on a slit of width mm, and a diffraction pattern is produced on a screen that is 2.00 m from the slit. What is the width of the central bright fringe? (1 nm = 10 9 m) a cm c cm b cm d cm 19. Light of wavelength 610 nm is incident on a slit of width 0.20 mm, and a diffraction pattern is produced on a screen that is 1.5 m from the slit. What is the distance of the second dark fringe from the center of the bright fringe? (1 nm = 10 9 m) a cm c. 1.2 cm b cm d. 1.4 cm 20. Helium-neon laser light ( = nm) is sent through a single slit of width 0.30 mm. What is the width of the central maximum on a screen 1.0 m in back of the slit? (1 nm = 10 9 m) a. 2.0 mm c. 4.2 mm b. 3.1 mm d. 5.3 mm 21. A multiple slit diffraction grating has a slit separation of m. Find the wavelength of the monochromatic light that will have its second order bright fringe diffracted through an angle of (1 nm = 10 9 m) a. 120 nm c. 616 nm b. 500 nm d. 687 nm 22. A diffraction grating with lines/cm will exhibit the first order maximum for light of wavelength 510 nm at what angle? (1 nm = 10 9 m) a c b d What is the highest order maximum for wavelength 450 nm that can be obtained with a grating with 600 lines per mm? a. 3 c. 6 b. 4 d A diffraction grating has 4000 lines/cm. What is the slit separation? a. 4.0 ìm c. 400 nm b. 2.5 ìm d. 250 nm 25. At what angle will the second order maximum occur for a wavelength of 400 nm using a diffraction grating with lines per cm? a c. 53 b. 24 d. No second order maximum will occur in this case. 3

4 Name: 26. A beam of polarized light of intensity I 0 passes through a sheet of ideal polarizing material. The polarization axis of the beam and the transmission axis of the sheet differ by 30. What is the intensity of the emerging light? a I 0 c I 0 b I 0 d I At what angle is the sun above the horizon if its light is found to be completely polarized when it is reflected from the top surface of a slab of glass (n = 1.65)? a c b d Unpolarized light of intensity I 0 passes through two sheets of ideal polarizing material. If the transmitted intensity is 0.25 I 0, what is the angle between the polarizer and the analyzer? a. 60 c. 30 b. 45 d Unpolarized light is passed through polarizer 1. The light then goes though polarizer 2 with its plane of polarization at 45.0 to that of polarizer 1. What fraction of the intensity of the original light gets though the second polarizer? a c b d In a Young s double-slit experiment, both the wavelength and the slit separation are increased by 50%. What happens to the distance between two adjacent bright fringes? a. It increases by 50%. c. The distance stays the same. b. It decreases by 50%. d. The distance increases by a 100% or more. 4

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