Exam 16: Superposition and Standing Waves

The wave function y(x,t)for a standing wave on a string fixed at both ends is given by y(x,t)= 0.080 sin 6.0x cos 600t where the units are SI.The wavelength of this wave is

Two speakers face each other at a distance of 1 m and are driven by a common audio oscillator.A first minimum in sound intensity is found 16.1 cm from the midpoint.If the velocity of sound is 330 m/s,find the frequency of the oscillator.

A piano tuner hears a beat every 0.33 seconds when he hits a note and compares it to his reference tone at 163 Hz.What is the lowest possible frequency of the piano note?

The three curves show the harmonics of a pipe that is closed one end and open the other end.The fundamental frequency is f_o.The three harmonics are

The electronic music synthesizer is based on the results of

The reason we can tell the difference between a trumpet and a clarinet when they both play the same pitch is that they have

Use the figure to the right to answer the next problem. The graph shows three harmonics. -The frequency spectrum of the composite wave is best represented by

Tuning fork A has a frequency of 440 Hz.When A and a second tuning fork B are struck simultaneously,four beats per second are heard.When a small mass is added to one of the tines of B,the two forks struck simultaneously produce two beats per second.The original frequency of tuning fork B was

Use the figure below to answer the next problem. The graph shows a wave pulse of width w = 5 cm and speed v = 100 m / s. -The range of frequencies is

A string fixed at both ends is driven by a tuning fork to produce standing waves.If the tension in the string is increased,

If f_o is the fundamental frequency,the three harmonics and their relative intensities can best be written as

Two sources are said to be coherent if

Wire A is the same mass per unit length as wire B.However wire A is twice as long as wire B and has three times as much tension on it.Calculate the fundamental frequency of wire A divided by wire B.

If both the tension and the length of a vibrating string are doubled while the linear density remains constant,the fundamental frequency of the string is multiplied by

A string whose length is 1 m is fixed at both ends and vibrates according to the equation where the units are SI.The total number of nodes exhibited by the string is

The interference of waves refers to the

The air columns in two identical pipes vibrate at frequencies of 150 Hz.The percentage of change needed in the length of one of the pipes to produce 3 beats per second is

If the amplitude of a standing wave is doubled,the energy in the wave increases by a factor of

Two wave trains of the same frequency are traveling in opposite directions down a string.When they meet,these wave trains will not

Two trumpet players are both playing a pitch with a frequency of 440 Hz,corresponding to the musical pitch A above middle C.However,one of the trumpet players is marching away from you so that you hear a beat frequency of 4 Hz from the two trumpets.With what speed is the departing trumpet player moving away from you? (The speed of sound in air is 340 m/s)