Two speakers in an automobile emit sound waves that are in phase at the speakers. One speaker is 40 cm ahead of and 30 cm to the left of the driver's left ear. The other speaker is 50 cm ahead of and 120 cm to the right of the driver's right ear. Which of the following wavelengths is(are) in phase at the left ear for the speaker on the left and the right ear for the speaker on the right?
a. 10 cm
b. 20 cm
c. 650 cm
d. All of the wavelengths listed above.
e. Only the wavelengths listed in (a) and (b).
[Ques. 2] Which of the following frequencies could NOT be present as a standing wave in a 2-m-long organ pipe open at both ends? The fundamental frequency is 85 Hz.
a. 85 Hz.
b. 170 Hz.
c. 255 Hz.
d. 340 Hz.
e. 382 Hz.
[Ques. 3] Which of the following wavelengths could NOT be present as a standing wave in a 2-m-long organ pipe open at both ends?
a. 4 m
b. 2 m
c. 1 m
d. 0.89 m
e. 0.5 m
[Ques. 4] Which of the following wavelengths could NOT be present as a harmonic on a 2-m-long string?
a. 4 m
b. 2 m
c. 1 m
d. 0.89 m
e. 0.5 m
[Ques. 5] In a standing wave, not necessarily at the fundamental frequency, on a string of length L, the distance between nodes is
a. /4.
b. /2.
c. .
d. L/4.
e. L/2.
[Ques. 6] Two strings are, respectively, 1.00 m and 2.00 m long. Which of the following wavelengths, in meters, could represent harmonics present on both strings?
a. 0.800, 0.670, 0.500
b. 1.33, 1.00, 0.500
c. 2.00, 1.00, 0.500
d. 2.00, 1.33, 1.00
e. 4.00, 2.00, 1.00
[Ques. 7] An organ pipe open at both ends is 1.5 m long. A second organ pipe that is closed at one end and open at the other is 0.75 m long. The speed of sound in the room is 330 m/s. Which of the following sets of frequencies consists of frequencies which can be produced by both pipes?
a. 110 Hz, 220 Hz, 330 Hz
b. 220 Hz, 440 Hz, 660 Hz
c. 110 Hz, 330 Hz, 550 Hz
d. 330 Hz, 440 Hz, 550 Hz
e. 220 Hz, 660 Hz, 1 100 Hz
[Ques. 8] Two waves are described by y1 = 6 cos(180t) and y2 = 6 cos(186t) (both in meters). What effective frequency does the resultant vibration have at a point?
a. 92 Hz
b. 183 Hz
c. 6 Hz
d. 3 Hz
e. 366 Hz
[Ques. 9] Two waves are described by y1 = 6cos(180t) and y2 = 6cos(186t) (both in meters). With what angular frequency does the maximum amplitude of the resultant wave vary with time?
a. 366 rad/s
b. 6 rad/s
c. 3 rad/s
d. 92 rad/s
e. 180 rad/s
[Ques. 10] Two instruments produce a beat frequency of 5 Hz. If one has a frequency of 264 Hz, what could be the frequency of the other instrument?
a. 269 Hz
b. 254 Hz
c. 264 Hz
d. 5 Hz
e. 274 Hz
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