This document provides a learning object with 7 questions testing understanding of concepts from sections 15-2, 15-5, and 28-1. The questions cover topics like creating plane sound waves, the resulting frequency of two tones, Huygens' principle, and whether geometric optics can be used for different wavelengths of electromagnetic radiation passing through an opening. The document also provides the solutions to each question, referencing the relevant pages and concepts in the text.
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1. Learning Object 8
Includes question to test your understanding in sections 15-2, 15-5,
28-1
1) You can create a plane sound wave by vibrating a large, flat plate in a direction
perpendicular to the surface plate. True or False?
2) Two violins produce frequencies of 294Hz and 296Hz. What frequency is heard?
3) What principle can be used to show that a plane wave, once created, continues to
propagate as a plane wave?
4) In North America, the telephone dial tone consists of a 350Hz tone and a 440Hz
tone. What is the resulting frequency?
5) Two speakers are 1m apart. If an observer is 12m from speaker1 and 15m from
speaker2. If the waves are in phase, is the interaction constructive or destructive?
(λ=1m)
6) Two speakers are 3cm apart. If an observer is 8cm from speaker1 and 2cm from
speaker2. If the waves are out of phase, is the interaction constructive or
destructive? (λ=3cm)
7) A single wavelength electromagnetic wave passes through an opening that has
dimensions 1mmx10cm. Determine whether geometric optics can be used in each
of the following cases:
a) ultraviolet radiation with a wavelength of 180nm
2. b) visible green light with a wavelength of 532nm
c) radio waves with a frequency of 88.0 MHz
Solutions:
1) True. Page 243 explores this topic. Figure 15-7 in particle may be helpful in
visualizing this concept.
2) 296Hz – 294Hz = 2Hz (Two)
3) Huygens’ principle. This principle is explained on page 242, in section 15-2.
(Huygens)
4) 440Hz – 350Hz = 90Hz (Ninety)
5) Δx= 15m-12m = 3λ. λ=1m, in phase = constructive
6) Δx= 8cm-2cm = 6λ. . λ=3cm, out of phase = destructive
7) a) λ = 180nm = 0.18x10-3 mm << 1mm. Geometric optics can be used. (True)
b) λ = 532nm = 0.532x10-3 mm << 1mm. Geometric optics can be used. (True)
c) λ = c/f = (3x108m/s)/(88x106Hz) >> 1mm. Geometric optics cannot be used.
(False)