Exam 17: The Principle of Linear Superposition and Interference Phenomena

Consider the figures depicting rectangular pulses on a string. -If pulse 1 were reflected from a wall,which one of the patterns above would represent the reflected pulse?

Some of the lowest pitches attainable on a musical instrument are achieved on the world's largest pipe organs.What is the length of an organ pipe that is open on both ends and has a fundamental frequency of 8.75 Hz when the speed of sound in air is 341 m/s?

Two timpani (tunable drums)are played at the same time.One is correctly tuned so that when it is struck,sound is produced that has a wavelength of 2.20 m.The second produces sound with a wavelength of 2.10 m.If the speed of sound is 343 m/s,what beat frequency is heard?

Consider the figures depicting rectangular pulses on a string. -Which pulses must be superimposed to give the situation shown in 5.

Consider the figures depicting rectangular pulses on a string. -Complete the following statement: If pulse 2 were superimposed on pulse 3,

A string with a length of 3.0 m has two adjacent resonances at frequencies 112 Hz and 140 Hz. -Determine the fundamental frequency of the string.

Two loudspeakers,A and B,are separated by a distance of 2.0 m.The speakers emit sound waves at a frequency of 680 Hz that are exactly out of phase.The speed of sound is 343 m/s.How far from speaker A along the +x axis will a point of constructive interference occur?

A guitar string produces 4 beats/s when sounded with a 250 Hz tuning fork and 9 beats per second when sounded with a 255 Hz tuning fork.What is the vibrational frequency of the string?

Vibrations with frequency 6.00 × 10² Hz are established on a 1.33-m length of string that is clamped at both ends.The speed of waves on the string is 4.00 × 10² m/s. -How far from either end of the string does the first node occur?

A rope of length is clamped at both ends.Which one of the following is not a possible wavelength for standing waves on this rope?

A 4.00-m long string,clamped at both ends,vibrates at 2.00 × 10² Hz.If the string resonates in six segments,what is the speed of transverse waves on the string?

Two identical tuning forks vibrate at 587 Hz.After a small piece of clay is placed on one of them,eight beats per second are heard.What is the period of the tuning fork that holds the clay?

Pipe A is 0.50 m long and open at both ends.Pipe B is open at one end and closed at the other end.Determine the length of pipe B so that it has the same fundamental frequency as A.

The beat period occurring when two tuning forks are vibrating is 0.333 s.One of the forks is known to vibrate at 588.0 Hz.What are the possible vibration frequencies of the second tuning fork?

A string with a length of 3.0 m has two adjacent resonances at frequencies 112 Hz and 140 Hz. -Determine the wavelength of the 140 Hz resonance.

Sound waves are emitted from two speakers.Which one of the following statements about sound wave interference is false?

Determine the shortest length of pipe,open at both ends,which will resonate at 256 Hz.The speed of sound is 343 m/s.

Two loudspeakers are located 3.0 m apart on the stage of an auditorium. A listener at point P is seated 19.0 m from one speaker and 15.0 m from the other. A signal generator drives the speakers in phase with the same amplitude and frequency. The wave amplitude at P due to each speaker alone is A. The frequency is then varied between 30 Hz and 400 Hz. The speed of sound is 343 m/s. -At what frequency or frequencies will the listener at P hear a maximum intensity?

For a diffraction horn loudspeaker,the sound emerges through a rectangular opening.The width of a diffraction horn is 0.14 m.If the speed of sound in air is 343 m/s,at what frequency is the diffraction angle equal to 35°?

The figures show standing waves of sound in six organ pipes of the same length.Each pipe has one end open and the other end closed.Note: some of the figures show situations that are not possible. -Which of the figures do not illustrate possible resonant situations?