Two tuning forks with frequencies 264 and 262 Hz produce beats. What is the beat frequency (in Hz)?
a. 4
b. 2
c. 1
d. 3
e. 0 (no beats are produced)
[Ques. 2] A length of organ pipe is closed at one end. If the speed of sound is 344 m/s, what length of pipe (in cm) is needed to obtain a fundamental frequency of 50 Hz?
a. 28
b. 86
c. 344
d. 172
e. 688
[Ques. 3] A vertical tube one meter long is open at the top. It is filled with 75 cm of water. If the velocity of sound is 344 m/s, what will the fundamental resonant frequency be (in Hz)?
a. 3.4
b. 172
c. 344
d. 1.7
e. 688
[Ques. 4] An organ pipe open at both ends has a radius of 4.0 cm and a length of 6.0 m. What is the frequency (in Hz) of the third harmonic? (Assume the velocity of sound is 344 m/s.)
a. 76
b. 86
c. 54
d. 28
e. 129
[Ques. 5] A clarinet behaves like a tube closed at one end. If its length is 1.0 m, and the velocity of sound is 344 m/s, what is its fundamental frequency (in Hz)?
a. 264
b. 140
c. 86
d. 440
e. 172
[Ques. 6] A stretched string is observed to vibrate in three equal segments when driven by a 480-Hz oscillator. What is the fundamental frequency of vibration for this string?
a. 480 Hz
b. 320 Hz
c. 160 Hz
d. 640 Hz
e. 240 Hz
[Ques. 7] A string is stretched and fixed at both ends, 200 cm apart. If the density of the string is 0.015 g/cm, and its tension is 600 N, what is the fundamental frequency?
a. 316 Hz
b. 632 Hz
c. 158 Hz
d. 215 Hz
e. 79 Hz
[Ques. 8] A string is stretched and fixed at both ends, 200 cm apart. If the density of the string is 0.015 g/cm, and its tension is 600 N, what is the wavelength (in cm) of the first harmonic?
a. 600
b. 400
c. 800
d. 1000
e. 200
[Ques. 9] Two harmonic waves traveling in opposite directions interfere to produce a standing wave described by y = 2sin(x)cos(3t), where x is in m and t is in s. What is the distance (in m) between the first two antinodes?
a. 8
b. 2
c. 4
d. 1
e. 0.5
[Ques. 10] Two harmonic waves traveling in opposite directions interfere to produce a standing wave described by y = 2sin(4x)cos(3t), where x is in m and t is in s. What is the speed (in m/s) of the interfering waves?
a. 0.75
b. 0.25
c. 1.3
d. 12
e. 3.0
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