Exam 18: Superposition and Standing Waves

When two organ pipes each closed at one end sound a perfect fifth,such as two notes with fundamental frequencies at 440 Hz and 660 Hz,both pipes produce overtones.Which choice below correctly describes overtones present in both pipes?

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?

Two harmonic waves traveling in opposite directions interfere to produce a standing wave described by y = 2 sin (πx)cos (3πt)where x is in m and t is in s.What is the distance (in m)between the first two antinodes?

The superposition of two waves, And , Results in a wave with a wavelength of

Exhibit 18-1 The figure below shows wave crests after a stone is thrown into a pond. Use this exhibit to answer the following question(s). -Refer to Exhibit 18-1.The phase difference in radians between points A and D is

Two harmonic waves are described by From the choices given,determine the smallest positive value of x (in cm)corresponding to a node of the resultant standing wave.

In a standing wave,not necessarily at the fundamental frequency,on a string of length L,the distance between nodes is

Two harmonic waves are described by What is the magnitude of the speed (in m/s)of the two traveling waves?

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. )

Two harmonic waves traveling in opposite directions interfere to produce a standing wave described by y = 4 sin (5x)cos (6t)where x is in m and t is in s.What is the approximate frequency of the interfering waves?

A very long string is tied to a rigid wall at one end while the other end is attached to a simple harmonic oscillator.Which of the following can be changed by changing the frequency of the oscillator?

Two ropes are spliced together as shown. A short time after the incident pulse shown in the diagram reaches the splice,the rope's appearance will be that in

Two point sources emit sound waves of 1.0-m wavelength.The sources,2.0 m apart,as shown below,emit waves which are in phase with each other at the instant of emission.Where,along the line between the sources,are the waves out of phase with each other by π radians?

Which of the following wavelengths could NOT be present as a harmonic on a 2 m long string?

An observer stands 3 m from speaker A and 4 m from speaker B.Both speakers,oscillating in phase,produce 170 Hz waves.The speed of sound in air is 340 m/s.What is the phase difference (in radians)between the waves from A and B at the observer's location,point P?

As shown below,a garden room has three walls,a floor and a roof,but is open to the garden on one side.The wall widths are L and w.The roof height is h.When traveling sound waves enter the room,standing sound waves can be present in the room if the wavelength of the standing waves is

Exhibit 18-1 The figure below shows wave crests after a stone is thrown into a pond. Use this exhibit to answer the following question(s). -Refer to Exhibit 18-1.The phase difference in radians between points A and C is

When two organ pipes open at both ends sound a perfect fifth,such as two notes with fundamental frequencies at 440 Hz and 660 Hz,both pipes produce overtones.Which choice below correctly describes overtones present in both pipes?

Exhibit 18-1 The figure below shows wave crests after a stone is thrown into a pond. Use this exhibit to answer the following question(s). -Refer to Exhibit 18-1.The phase difference in radians between points A and B is

Two harmonic waves are described by What is the amplitude of the resultant wave?