Exam 16: Superposition and Standing Waves

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?

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

The figure shows two waves traveling in the positive-x direction. The phase difference between these two waves is closest to

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

A string 2.0 m long has a mass of 2.4 $\times$ 10^-2 kg. When fixed at both ends, it vibrates with a fundamental frequency of 150 Hz. The speed of a transverse wave in the string is

The complex wave whose frequency spectrum is shown in the figure is made up of waves whose relative amplitudes are

The figure shows two waves traveling in the positive-x direction. The amplitude of the resultant wave is closest to

The fundamental frequency of a vibrating string is . If the tension in the string is decreased by 50% while the linear density is held constant, the fundamental frequency becomes

The figure shows two waves traveling in the positive-x direction. The phase difference between these two waves is

If two identical waves with a phase difference of 3 $\pi$ are added, the result is

A 1.00 m string fixed at both ends vibrates in its fundamental mode at 440 Hz. What is the speed of the waves on this string?

A stretched string is fixed at points 1 and 5. When it is vibrating in its first harmonic frequency, the nodes are at points

The two progressive waves are moving with equal velocities and wavelengths but in opposite directions in the string. Which of the following gives all of the points that will be nodes in the resultant standing wave?

A string whose length is 1 m is fixed at both ends and vibrates according to the equation Y(x, t) = 0.04 sin $\pi$ x cos 2 $\pi$ t Where the units are SI. The total number of nodes exhibited by the string is

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 distance between successive nodes on the string is

When an organ pipe, which is closed at one end only, vibrates with a frequency that is three times its fundamental (first harmonic) frequency,

Two pipes closed at one end of length L₁ and L₂ are excited at their resonant frequencies. If the beat period is B_f Hz, then the velocity of sound is given by:

Two tones of equal amplitude but slightly different frequencies are emitted by a sound source. This gives rise to

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

Sketch A shows two identical pulses traveling in opposite directions along a string, each with a velocity of 1.0 cm/s. After 4.0 s, the string will look like which of the other sketches?