For Items 25 – 28, refer on the problem below A sinusoidal wave traveling in the positive x direction has amplitude of 10.0 cm, a wavelength of 10.0 cm, and a frequency of 5.00 Hz. The vertical position of an element of the medium at t = 0s and x = 0 m is 10.0 cm. Note: Units in kg-m-s system 25. What is the wave number(x)? A. 0.157 rad/m B. 0.175 radm c. 628 rad/m D. 68.2 rad/m 26. What is the period of the wave(T)? A. 0.2 Hz с. 1.2 Hz В. 2 На D. 2.1 Hz 27. What is the angular frequency (w)of the wave? A. 31.42 rad/, в. 3124 гrad/, c. 34.12 rad/ D. 34.42 rad/s 28. What is the speed (v) of the wave? A. 0.5 m/, B. 1.0 m/ c. 5.0 m/s D. 1.0 m/ 29. What sinusoidal wave function, y(x,t) = Asin(kx – wt), was formed by combining the data computed in Items 26-28? A. y(x, t) = 0.10sin(62.8x – 31.42t) B. y(x, t) = 0.10sin(68.2x - 34.12t) C. y(x,t) = 0.10sin(0.157x – 31.24t) D. y(x,t) = 0.10sin(0.175x – 34.42t)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 100E
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For Items 25 - 28, refer on the problem below
A sinusoidal wave traveling in the positive x direction has amplitude of 10.0 cm, a wavelength of 10.0 cm,
and a frequency of 5.00 Hz. The vertical position of an element of the medium at t = 0 s and x = 0 m is
10.0 cm. Note: Units in kg-m-s system
25. What is the wave number(x)?
A. 0.157 rad/m
B. 0.175 radm
c. 62.8 rad/m
D. 68.2 radm
5 rad/m
26. What is the period of the wave(T)?
А. 0.2 Hz
В. 2 Hz
С. 1.2 Нz
D. 2.1 Hz
27. What is the angular frequency (w)of the wave?
A. 31.42 rad,
в. 31.24 rad
c. 34.12 rad/s
D. 34.42 rad/s
28. What is the speed (u) of the wave?
A. 0.5 m/s
в. 1.0 m.
c. 5.0 m/
D. 1.0 m
29. What sinusoidal wave function, y(x,t) = Asin(kx – wt), was formed by combining the data
computed in Items 26-28?
A. y(x, t) = 0.10sin(62.8x – 31.42t)
B. y(x, t) = 0.10sin(68.2x – 34.12t)
C. y(x, t) = 0.10sin(0.157x – 31.24t)
D. y(x, t) = 0.10sin(0.175x – 34.42t)
30. The intensity of monochromatic light is in the ratio 16:1. Calculate the second distance if the first
distance is 6 m.
A. 21 m
C. 24 m
D. 27 m
B. 26 m
31. The intensity of light is 800 ", at 400 cm away from the source. What is the intensity of the light of a
distance 3 m away from the light source?
A. 1522.7 W/m^2
B. 1622.5 W/m^2
32. If a bright flashlight has a light intensity of 15.0 candela at a distance 1.00 m from the lens, what is the
intensity of the flashlight 100.0 m from the lens?
A. 0.00015
C. 1822.2 W/m^2
D. 1422.2 W/m^2
C. 0.00165
D. 0.0150
B. 0.00150
33. Two wave pulses, as shown in the image on the right, with equal positive amplitudes travel on a cord
approaching each other. What is the result of the oscillations when
the pulses reach the same point?
A. It is constructive interference with twice the amplitude
B. It is destructive interference with zero amplitude
C. It is constructive interference with slightly greater amplitude
D. It is constructive interference with the negative amplitude
34. Interference occurs when two or more waves meet while passing though the same medium at the same
time. A special case of interference occurs when two waves of equal frequency and altitude but opposite
directions meet. The result is standing wave pattern consisting of nodes and antinodes. What are nodes?
A. Points where particles of the medium are not displaced from the equilibrium position
B. Points where particles experience maximum displacement
C. Lowest frequency that can be produced by a vibrating spring
D. Frequency higher than the fundamental frequency
35. The Doppler Effect is the apparent change in the frequency of sound caused by the motion of the sound
source and/or the observer. Which of the following equations represents the effect in frequency when
both the observer and source of motion is both moving?
[vtve
A. f =
lviv.
c. f = ve
B. f=_I
lvtvs.
D. Cannot be determined
For Items 36 – 37, refer on the problem below
The frequency of a fire engine siren is 1800 Hz. Answer the following questions, assuming the speed of
ansd in ain an an a la
Transcribed Image Text:ul TM LTE 2:49 PM z-p3-cdn.fbsbx.com Done For Items 25 - 28, refer on the problem below A sinusoidal wave traveling in the positive x direction has amplitude of 10.0 cm, a wavelength of 10.0 cm, and a frequency of 5.00 Hz. The vertical position of an element of the medium at t = 0 s and x = 0 m is 10.0 cm. Note: Units in kg-m-s system 25. What is the wave number(x)? A. 0.157 rad/m B. 0.175 radm c. 62.8 rad/m D. 68.2 radm 5 rad/m 26. What is the period of the wave(T)? А. 0.2 Hz В. 2 Hz С. 1.2 Нz D. 2.1 Hz 27. What is the angular frequency (w)of the wave? A. 31.42 rad, в. 31.24 rad c. 34.12 rad/s D. 34.42 rad/s 28. What is the speed (u) of the wave? A. 0.5 m/s в. 1.0 m. c. 5.0 m/ D. 1.0 m 29. What sinusoidal wave function, y(x,t) = Asin(kx – wt), was formed by combining the data computed in Items 26-28? A. y(x, t) = 0.10sin(62.8x – 31.42t) B. y(x, t) = 0.10sin(68.2x – 34.12t) C. y(x, t) = 0.10sin(0.157x – 31.24t) D. y(x, t) = 0.10sin(0.175x – 34.42t) 30. The intensity of monochromatic light is in the ratio 16:1. Calculate the second distance if the first distance is 6 m. A. 21 m C. 24 m D. 27 m B. 26 m 31. The intensity of light is 800 ", at 400 cm away from the source. What is the intensity of the light of a distance 3 m away from the light source? A. 1522.7 W/m^2 B. 1622.5 W/m^2 32. If a bright flashlight has a light intensity of 15.0 candela at a distance 1.00 m from the lens, what is the intensity of the flashlight 100.0 m from the lens? A. 0.00015 C. 1822.2 W/m^2 D. 1422.2 W/m^2 C. 0.00165 D. 0.0150 B. 0.00150 33. Two wave pulses, as shown in the image on the right, with equal positive amplitudes travel on a cord approaching each other. What is the result of the oscillations when the pulses reach the same point? A. It is constructive interference with twice the amplitude B. It is destructive interference with zero amplitude C. It is constructive interference with slightly greater amplitude D. It is constructive interference with the negative amplitude 34. Interference occurs when two or more waves meet while passing though the same medium at the same time. A special case of interference occurs when two waves of equal frequency and altitude but opposite directions meet. The result is standing wave pattern consisting of nodes and antinodes. What are nodes? A. Points where particles of the medium are not displaced from the equilibrium position B. Points where particles experience maximum displacement C. Lowest frequency that can be produced by a vibrating spring D. Frequency higher than the fundamental frequency 35. The Doppler Effect is the apparent change in the frequency of sound caused by the motion of the sound source and/or the observer. Which of the following equations represents the effect in frequency when both the observer and source of motion is both moving? [vtve A. f = lviv. c. f = ve B. f=_I lvtvs. D. Cannot be determined For Items 36 – 37, refer on the problem below The frequency of a fire engine siren is 1800 Hz. Answer the following questions, assuming the speed of ansd in ain an an a la
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