Exam 17: The Principle of Linear Superposition and Interference Phenomena

A cylindrical tube sustains standing waves at the following frequencies: 600 Hz, 800 Hz, and 1000 Hz.The tube does not sustain standing waves at 500 Hz, at 900 Hz, at any frequencies between 600 and 800 Hz, or at any frequencies between 800 and 1000 Hz.Determine the fundamental frequency of the tube and whether the tube is open at both ends or has only one end open.

What is the distance to the nearest antinode from the fixed end of a guitar string vibrating at its first harmonic?

17-6 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 one of the pipes is resonating in its third harmonic?

A string with a linear density of 0.035 kg/m and a mass of 0.014 kg is clamped at both ends.Under what tension in the string will it have a fundamental frequency of 110 Hz?

Which one of the following will result in standing waves?

17-1 Consider the figures depicting rectangular pulses on a string. -Which pulses must be superimposed to give the situation shown in 5.

If the length of the pipes is 0.500 m, what is the frequency of the sound emitted from pipe 3? The speed of sound is 343 m/s.

17-1 Consider the figures depicting rectangular pulses on a string. -Complete the following statement: If pulse 2 were superimposed on pulse 3,

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?

When a tuba is played, the player makes a buzzing sound and blows into one end of a tube that has an effective length of 3.50 m.The other end of the tube is open.If the speed of sound in air is 343 m/s, what is the lowest frequency the tuba can produce?

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.