Question 1

A standing wave is oscillating at 690 Hz on a string,as shown in the figure.What is the speed of traveling waves on this string?

Accepted Answer

A) 280 m/s 
B) 410 m/s 
C) 210 m/s 
D) 140 m/s 
A) 280 m/s 
B) 410 m/s 
C) 210 m/s 
D) 140 m/s

Question 2

A 2.00-m long piano wire with a mass per unit length of 12.0 g/m is under a tension of 8.00 kN.What is the frequency of the fundamental mode of vibration of this wire?

Accepted Answer

A) 204 Hz 
B) 102 Hz 
C) 408 Hz 
D) 510 Hz 
E) 153 Hz 
A) 204 Hz 
B) 102 Hz 
C) 408 Hz 
D) 510 Hz 
E) 153 Hz

Question 3

Consider the waves on a vibrating guitar string and the sound waves the guitar produces in the surrounding air.The string waves and the sound waves must have the same

Accepted Answer

A) wavelength. 
B) velocity. 
C) frequency. 
D) amplitude. 
E) More than one of the above is true. 
A) wavelength. 
B) velocity. 
C) frequency. 
D) amplitude. 
E) More than one of the above is true.

Question 4

A pipe is 0.90 m long and is open at one end but closed at the other end.If it resonates with a tone whose wavelength is 0.72 m,what is the wavelength of the next higher overtone in this pipe?

Accepted Answer

A) 0.36 m 
B) 0.40 m 
C) 0.45 m 
D) 0.51 m 
E) 0.58 m 
A) 0.36 m 
B) 0.40 m 
C) 0.45 m 
D) 0.51 m 
E) 0.58 m

Question 5

A violin with string length 32 cm and string density   resonates with the first overtone from a 2.0-m long organ pipe with one end closed and the other end open.What is the tension in the string?

Accepted Answer

A) 1000 N 
B) 110 N 
C) 450 N 
D) 4100 N 
E) 56 N 
A) 1000 N 
B) 110 N 
C) 450 N 
D) 4100 N 
E) 56 N

Question 6

An organ pipe open at both ends has two successive harmonics with frequencies of 210 Hz and 240 Hz.What is the length of the pipe? The speed of sound is 344 m/s in air.

Accepted Answer

A) 5.25 m 
B) 5.73 m 
C) 2.76 m 
D) 4.90 m 
E) 3.62 m 
A) 5.25 m 
B) 5.73 m 
C) 2.76 m 
D) 4.90 m 
E) 3.62 m

Question 7

An air column,open at one end and closed at the other,is being designed so that its second lowest resonant frequency is 440 Hz.What should be the length of the column if the speed of sound in air is 340 m/s?

Accepted Answer

A) 0.386 m 
B) 0.772 m 
C) 1.16 m 
D) 0.193 m 
E) 0.580 m 
A) 0.386 m 
B) 0.772 m 
C) 1.16 m 
D) 0.193 m 
E) 0.580 m

Question 8

Standing waves of frequency 57 Hz are produced on a string that has mass per unit length 0.0160 kg/m.With what tension must the string be stretched between two supports if adjacent nodes in the standing wave are to be 0.71 meters apart?

Accepted Answer

The answer of Standing waves of frequency 57 Hz are...

Question 9

A thin 2.00-m string of mass 50.0 g is fixed at both ends and under a tension of 70.0 N.If it is set into small-amplitude oscillation,what is the frequency of the first harmonic mode?

Accepted Answer

A) 6.61 Hz 
B) 13.2 Hz 
C) 26.5 Hz 
D) 52.9 Hz 
A) 6.61 Hz 
B) 13.2 Hz 
C) 26.5 Hz 
D) 52.9 Hz

Question 10

A guitar string 0.650 m long has a tension of 61.0 N and a mass per unit length of 3.00 g/m.
(a)What is the speed of waves on the string when it is plucked?
(b)What is the string's fundamental frequency of vibration when plucked?

Accepted Answer

(a)143 m/s

Question 11

In a resonating pipe that is open at both ends,there

Accepted Answer

A) are displacement nodes at each end. 
B) are displacement antinodes at each end. 
C) is a displacement node at one end and a displacement antinode at the other end. 
D) None of the above are possible. 
A) are displacement nodes at each end. 
B) are displacement antinodes at each end. 
C) is a displacement node at one end and a displacement antinode at the other end. 
D) None of the above are possible.

Question 12

A 1.0-g string that is 0.64 m long is fixed at both ends and is under tension.This string produces a 100-Hz tone when it vibrates in the third harmonic.The speed of sound in air is 344 m/s.The tension in the string,in is closest to

Accepted Answer

A) 2.8 N. 
B) 2.3 N. 
C) 1.8 N. 
D) 3.4 N. 
E) 3.9 N. 
A) 2.8 N. 
B) 2.3 N. 
C) 1.8 N. 
D) 3.4 N. 
E) 3.9 N.

Question 13

A string,0.28 m long and vibrating in its third harmonic,excites an open pipe that is 0.82 m long into its second overtone resonance.The speed of sound in air is 345 m/s.The speed of transverse waves on the string is closest to

Accepted Answer

A) 120 m/s. 
B) 110 m/s. 
C) 100 m/s. 
D) 98 m/s. 
E) 91 m/s. 
A) 120 m/s. 
B) 110 m/s. 
C) 100 m/s. 
D) 98 m/s. 
E) 91 m/s.

Question 14

50)A 0.25-m string,vibrating in its sixth harmonic,excites a 0.96-m pipe that is open at both ends into its second overtone resonance.The speed of sound in air is 345 m/s.The common resonant frequency of the string and the pipe is closest to

Accepted Answer

A) 540 Hz. 
B) 360 Hz. 
C) 450 Hz. 
D) 630 Hz. 
E) 700 Hz. 
A) 540 Hz. 
B) 360 Hz. 
C) 450 Hz. 
D) 630 Hz. 
E) 700 Hz.

Question 15

A pipe that is 0.46 m long and open at both ends vibrates in the second overtone with a frequency of   In this situation,the distance from the center of the pipe to the nearest antinode is closest to

Accepted Answer

A) 7.7 cm. 
B) 3.8 cm. 
C) 12 cm. 
D) 15 cm. 
E) zero. 
A) 7.7 cm. 
B) 3.8 cm. 
C) 12 cm. 
D) 15 cm. 
E) zero.

Question 16

The sound from a single source can reach point O by two different paths.One path is 20.0 m long and the second path is 21.0 m long.The sound destructively interferes at point O.What is the minimum frequency of the source if the speed of sound is 340 m/s?

Accepted Answer

A) 340 Hz 
B) 6800 Hz 
C) 520 Hz 
D) 680 Hz 
E) 170 Hz 
A) 340 Hz 
B) 6800 Hz 
C) 520 Hz 
D) 680 Hz 
E) 170 Hz

Question 17

A wave pulse traveling to the right along a thin cord reaches a discontinuity where the rope becomes thinner and lighter.What is the orientation of the reflected and transmitted pulses?

Accepted Answer

A) Both pulses are right side up. 
B) The reflected pulse returns right side up while the transmitted pulse is inverted. 
C) The reflected pulse returns inverted while the transmitted pulse is right side up. 
D) Both pulses are inverted. 
A) Both pulses are right side up. 
B) The reflected pulse returns right side up while the transmitted pulse is inverted. 
C) The reflected pulse returns inverted while the transmitted pulse is right side up. 
D) Both pulses are inverted.

Question 18

Two strings of identical material and radius are stretched with the same tension with their ends fixed,but one string is 8.0 mm longer than the other.Waves on these strings propagate at 420 m/s.The fundamental frequency of the longer string is 528 Hz.What is the beat frequency when each string is vibrating at its fundamental frequency?

Accepted Answer

A) 22 Hz 
B) 11 Hz 
C) 16 Hz 
D) 5.5 Hz 
E) 27 Hz 
A) 22 Hz 
B) 11 Hz 
C) 16 Hz 
D) 5.5 Hz 
E) 27 Hz

Question 19

A pipe that is 120 cm long resonates to produce sound of wavelengths 480 cm,160 cm,and 96 cm but does not resonate at any wavelengths longer than these.This pipe is

Accepted Answer

A) open at both ends. 
B) open at one end and closed at the other end. 
C) closed at both ends. 
D) We cannot tell because we do not know the frequency of the sound. 
A) open at both ends. 
B) open at one end and closed at the other end. 
C) closed at both ends. 
D) We cannot tell because we do not know the frequency of the sound.

Question 20

The lowest-pitch tone to resonate in a pipe of length L that is closed at one end and open at the other end is 200 Hz.Which one of the following frequencies will NOT resonate in the same pipe?

Accepted Answer

A) 400 Hz 
B) 600 Hz 
C) 1000 Hz 
D) 1400 Hz 
E) 1800 Hz 
A) 400 Hz 
B) 600 Hz 
C) 1000 Hz 
D) 1400 Hz 
E) 1800 Hz

Exam 17: Superposition

A standing wave is oscillating at 690 Hz on a string,as shown in the figure.What is the speed of traveling waves on this string?

A 2.00-m long piano wire with a mass per unit length of 12.0 g/m is under a tension of 8.00 kN.What is the frequency of the fundamental mode of vibration of this wire?

Consider the waves on a vibrating guitar string and the sound waves the guitar produces in the surrounding air.The string waves and the sound waves must have the same

A pipe is 0.90 m long and is open at one end but closed at the other end.If it resonates with a tone whose wavelength is 0.72 m,what is the wavelength of the next higher overtone in this pipe?

A violin with string length 32 cm and string density resonates with the first overtone from a 2.0-m long organ pipe with one end closed and the other end open.What is the tension in the string?

An organ pipe open at both ends has two successive harmonics with frequencies of 210 Hz and 240 Hz.What is the length of the pipe? The speed of sound is 344 m/s in air.

An air column,open at one end and closed at the other,is being designed so that its second lowest resonant frequency is 440 Hz.What should be the length of the column if the speed of sound in air is 340 m/s?

Standing waves of frequency 57 Hz are produced on a string that has mass per unit length 0.0160 kg/m.With what tension must the string be stretched between two supports if adjacent nodes in the standing wave are to be 0.71 meters apart?

A thin 2.00-m string of mass 50.0 g is fixed at both ends and under a tension of 70.0 N.If it is set into small-amplitude oscillation,what is the frequency of the first harmonic mode?

A guitar string 0.650 m long has a tension of 61.0 N and a mass per unit length of 3.00 g/m. (a)What is the speed of waves on the string when it is plucked? (b)What is the string's fundamental frequency of vibration when plucked?

In a resonating pipe that is open at both ends,there

A 1.0-g string that is 0.64 m long is fixed at both ends and is under tension.This string produces a 100-Hz tone when it vibrates in the third harmonic.The speed of sound in air is 344 m/s.The tension in the string,in is closest to

A string,0.28 m long and vibrating in its third harmonic,excites an open pipe that is 0.82 m long into its second overtone resonance.The speed of sound in air is 345 m/s.The speed of transverse waves on the string is closest to

50)A 0.25-m string,vibrating in its sixth harmonic,excites a 0.96-m pipe that is open at both ends into its second overtone resonance.The speed of sound in air is 345 m/s.The common resonant frequency of the string and the pipe is closest to

A pipe that is 0.46 m long and open at both ends vibrates in the second overtone with a frequency of In this situation,the distance from the center of the pipe to the nearest antinode is closest to

The sound from a single source can reach point O by two different paths.One path is 20.0 m long and the second path is 21.0 m long.The sound destructively interferes at point O.What is the minimum frequency of the source if the speed of sound is 340 m/s?

A wave pulse traveling to the right along a thin cord reaches a discontinuity where the rope becomes thinner and lighter.What is the orientation of the reflected and transmitted pulses?

A pipe that is 120 cm long resonates to produce sound of wavelengths 480 cm,160 cm,and 96 cm but does not resonate at any wavelengths longer than these.This pipe is

The lowest-pitch tone to resonate in a pipe of length L that is closed at one end and open at the other end is 200 Hz.Which one of the following frequencies will NOT resonate in the same pipe?

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