PRACTICE Q6--Quiz 6, Ch15.1 &15.2 Interference & Diffraction

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1 Name: Class: Date: ID: A PRACTICE Q6--Quiz 6, Ch5. &5. Interference & Diffraction Multiple Choice Identify the choice that best completes the statement or answers the question.. The trough of the sine curve used to represent a sound wave corresponds to a. a compression. b. a rarefaction. c. the amplitude. d. the wavelength. The figure above shows the pattern of a double-slit interference experiment. The center of the pattern is located at E.. In the figure above, which fringe represents a second-order minimum? a. H b. E c. F d. G 3. In the double-slit interference experiment that produced the figure above, the two slits are moved closer. Which of the following would occur to the pattern shown in the figure? a. F would shift to the left. b. F would shift to the right. c. E would shift to the left. d. E would shift to the right. 4. In the figure above, θ is the angle between the central maximum and the first-order maximum. What is the angle between fringes D and F? a. 3θ b. θ c. θ d. θ 5. In the figure above, for which of the following fringes is the path length of the light wave from one slit more than one wavelength greater than the path length of the light wave from the other slit? a. B and C b. B, C, D, and E c. A and B d. A, B, and C 6. In the double-slit interference experiment that produced the figure above, the same slits are illuminated with light of greater wavelength. Which of the following would occur to the pattern shown in the figure? a. F would shift to the left. b. E would shift to the right. c. F would shift to the right. d. E would shift to the left. 7. When a light ray passes from water (n.333) into diamond (n.49) at an angle of 45, its path is a. parallel to the normal. b. bent toward the normal. c. bent away from the normal. d. not bent. 8. The of light can change when light is refracted because the velocity changes. a. frequency b. medium c. transparency d. wavelength 9. A ray of light in air is incident on an air-to-glass boundary at an angle of exactly 30.0 with the normal. If the index of refraction of the glass is.65, what is the angle of the refracted ray within the glass with respect to the normal? a b c d In a vacuum, electromagnetic radiation of short wavelengths a. can travel both faster and slower than radiation of long wavelengths. b. travels slower than radiation of long wavelengths. c. travels as fast as radiation of long wavelengths. d. travels faster than radiation of long wavelengths.. What is the frequency of infrared light of m wavelength? a Hz b Hz c Hz d Hz

2 Name: ID: A. In a double-slit interference pattern, the path length from one slit to the first dark fringe of a double-slit interference pattern is longer than the path length from the other slit to the fringe by a. one-quarter of a wavelength. b. one full wavelength. c. three-quarters of a wavelength. d. one-half of a wavelength. 3. The distance between the two slits in a double-slit interference experiment is mm. The second-order bright fringe (m ) is measured on a screen at an angle of. from the central maximum. What is the wavelength of the light? a. 560 nm b. 770 nm c. 750 nm d. 630 nm 4. If you know the wavelength of any form of electromagnetic radiation, you can determine its frequency because a. all wavelengths travel at the same speed. b. wavelength and frequency are equal. c. the speed of light increases as wavelength increases. d. the speed of light varies for each form. 5. The highness or lowness of a sound is perceived as a. pitch. b. compression. c. ultrasound. d. wavelength. 6. In a double-slit interference experiment, a wave from one slit arrives at a point on a screen one wavelength behind the wave from the other slit. What is observed at that point? a. multicolored fringe b. gray fringe, neither dark nor bright c. bright fringe d. dark fringe 7. Light with a wavelength of nm passes through a lines/m diffraction grating. What is the first-order angle of diffraction? a. 53. b c d The distance between two slits in a double-slit interference experiment is mm. What is the angle of the third-order bright fringe (m 3) produced with light of 550 nm? a. 9 b. c. 5.0 d To produce a sustained interference pattern by light waves from multiple sources, which condition or conditions must be met? a. Sources must be monochromatic. b. Sources must be neither coherent nor monochromatic. c. Sources must be coherent. d. Sources must be coherent and monochromatic. 0. What is the wavelength of microwaves of Hz frequency? a. 0.0 m b m c m d. 0.0 m. Monochromatic light shines on the surface of a diffraction grating with lines/cm. The first-order maximum is observed at an angle of 7. Find the wavelength. a. 530 nm b. 550 nm c. 40 nm d. 50 nm. In general, sound travels faster through a. empty space than through matter. b. solids than through gases. c. gases than through liquids. d. gases than through solids. 3. For high resolution in optical instruments, the angle between resolved objects should be a... b. 45. c. as large as possible. d. as small as possible. 4. What is the wavelength of an infrared wave with a frequency of Hz? a m b m c m d m 5. Sound waves a. are transverse waves. b. are a part of the electromagnetic spectrum. c. do not require a medium for transmission. d. are longitudinal waves. 6. Light with a wavelength of nm passes through a lines/cm diffraction grating. What is the second-order angle of diffraction? a. 7. b..3 c. 53. d. 56.5

3 Name: ID: A 7. If light waves are coherent, a. they remain in phase. b. they have less than three different wavelengths. c. they shift over time. d. their intensity is less than that of incoherent light. 8. Two beams of coherent light are shining on the same sheet of white paper. When referring to the crests and troughs of such waves, where will darkness appear on the paper? a. where the crest from one wave overlaps the trough from the other b. Darkness cannot occur because the two waves are coherent. c. where the crest from one wave overlaps the crest from the other d. where the troughs from both waves overlap 9. If two lightbulbs are placed side by side, no interference is observed because a. each bulb produces only one wavelength of light. b. incandescent light is incoherent. c. each bulb produces many wavelengths of light. d. incandescent light is coherent. 30. When light passes at an angle to the normal from one material into another material in which its speed is higher, a. it is unaffected. b. it always lies along the normal to the surface. c. it is bent away from the normal to the surface. d. it is bent toward the normal to the surface. 3. For stable interference to occur, the phase difference must be a. λ. b. monochromatic. c. constant. d. incoherent. 3. The distance between two slits in a double-slit interference experiment is m. The first-order bright fringe is measured on a screen at an angle of from the central maximum. What is the wavelength of the light? a nm b.. 0 nm c nm d nm 33. Monochromatic light shines on the surface of a diffraction grating with lines/cm. The first-order maximum is observed at an angle of 0.0. Find the wavelength. a. 360 nm b. 680 nm c. 480 nm d. 50 nm 34. At the first dark band in a single-slit diffraction pattern, the path lengths of selected pairs of wavelets differ by a. less than half of one wavelength. b. more than one wavelength. c. one-half wavelength. d. one wavelength. 35. In a double-slit interference experiment, a wave from one slit arrives at a point on a screen one-half wavelength behind the wave from the other slit. What is observed at that point? a. dark fringe b. multicolored fringe c. gray fringe, neither dark nor bright d. bright fringe 36. In a double-slit interference pattern, the path length from one slit to the first bright fringe of a double-slit interference pattern is longer than the path length from the other slit to the fringe by a. one-quarter of a wavelength. b. one full wavelength. c. one-half of a wavelength. d. three-quarters of a wavelength. 37. Light is not refracted when it is a. traveling from water into air at an angle of 35 to the normal. b. traveling from air into a glass of water at an angle of 35 to the normal. c. traveling from air into a diamond at an angle of 45. d. striking a wood surface at an angle of Coherence is the property by which two waves with identical wavelengths maintain a constant a. amplitude. b. frequency. c. phase relationship. d. speed. 39. Light with a wavelength of 546. nm passes through a lines/cm diffraction grating. What is the first-order angle of diffraction? a. 4.6 b. 39. c d Interference effects observed in the early 9th century were instrumental in supporting a concept of the existence of which property of light? a. particle nature b. polarization c. electromagnetic character d. wave nature 3

4 PRACTICE Q6--Quiz 6, Ch5. &5. Interference & Diffraction Answer Section MULTIPLE CHOICE. ANS: B PTS: DIF: I OBJ: -.. ANS: A PTS: DIF: I OBJ: ANS: B PTS: DIF: II OBJ: ANS: B PTS: DIF: II OBJ: ANS: C PTS: DIF: II OBJ: ANS: C PTS: DIF: II OBJ: ANS: B PTS: DIF: II OBJ: ANS: D PTS: DIF: II OBJ: ANS: D θ i 30.0 n i.00 n r.65 Rearrange Snell s law, n i sinθ i n r sinθ r, and solve for θ r. È n È θ r sin i sinθ n i r.00 sin ÎÍ.65 sin ÎÍ 8.0 PTS: DIF: IIIA OBJ: ANS: C PTS: DIF: I OBJ: ANS: C λ m c m/s Rearrange the wave speed equation, c fλ, to isolate f, and calculate. f c m/s λ s Hz m PTS: DIF: IIIA OBJ: 3-.. ANS: D PTS: DIF: I OBJ: 5-.

5 3. ANS: B d mm m m θ. λ d sinθ m ( m)(sin. ) m nm PTS: DIF: IIIA OBJ: ANS: A PTS: DIF: I OBJ: ANS: A PTS: DIF: I OBJ: ANS: C PTS: DIF: I OBJ: ANS: C d lines m m m λ nm m θ sin mλ d ( m) sin m 9.73 PTS: DIF: IIIB OBJ: ANS: A d mm m m 3 λ 550 nm m θ sin mλ d (3)( m) sin ( m) 9 PTS: DIF: IIIB OBJ: ANS: D PTS: DIF: I OBJ: 5-.

6 0. ANS: D f Hz s c m/s Rearrange the wave speed equation, c fλ, to isolate λ, and calculate. λ c f m/s 0.0 m s PTS: DIF: IIIA OBJ: 3-.. ANS: B d lines cm m θ cm λ d sinθ m cm (sin7 ) cm nm PTS: DIF: IIIA OBJ: 5-.. ANS: B PTS: DIF: I OBJ: ANS: D PTS: DIF: I OBJ: ANS: B f Hz s c m/s Rearrange the wave speed equation, c fλ, to isolate λ, and calculate. λ c f m/s m s PTS: DIF: IIIA OBJ: ANS: D PTS: DIF: I OBJ: -. 3

7 6. ANS: C d lines cm m λ nm m θ sin mλ d cm cm m 00 cm ()( m) sin m m PTS: DIF: IIIB OBJ: ANS: A PTS: DIF: I OBJ: ANS: A PTS: DIF: I OBJ: ANS: B PTS: DIF: I OBJ: ANS: C PTS: DIF: I OBJ: ANS: C PTS: DIF: II OBJ: ANS: A d m m θ λ d sinθ m ( m)(sin ) m nm PTS: DIF: IIIA OBJ: ANS: B d lines cm lines cm m θ 0.0 λ d sinθ m cm (sin0.0 ) cm nm PTS: DIF: IIIA OBJ: ANS: C PTS: DIF: II OBJ: ANS: A PTS: DIF: I OBJ: ANS: B PTS: DIF: I OBJ: ANS: D PTS: DIF: I OBJ: 4-. 4

8 38. ANS: C PTS: DIF: I OBJ: ANS: D d lines cm m λ 546. nm m θ sin mλ d cm m 00 cm ( m) sin m m PTS: DIF: IIIB OBJ: ANS: D PTS: DIF: II OBJ: 5-. 5