What are the possible frequencies of the second string if one guitar string is tuned to a frequency of $352 \mathrm{~Hz}$ and another string on another guitar produces 7 beats per second when played together with the first string?

A string on a guitar vibrates with a frequency of 440 Hz. Two beats are heard when this string and a string on another guitar are played at the same time. What are the possible frequencies of vibration of the second string?

What is the frequency of a sound wave travelling in room-temperature air with a wavelength of $0.56 \mathrm{~m}$ $(v=340 \mathrm{~m} / \mathrm{s})$ ?

If we look down at the top of a circular loop of wire whose plane is horizontal and that carries a current in the clockwise direction, what is the direction of the magnetic field at the center of the circle? Explain.

In just tuning, the ratio for a major third is $5 / 4$. In equallytempered tuning the ratio is $1.260$. If we start a scale on a frequency of $440 \mathrm{~Hz}$ for $d o$, what is the difference in frequency for $m i$ (a major third above $d o$ ) on an equallytempered piano and a justly-tuned piano?

Suppose that the string in exercise is plucked so that there are two nodes along the string in addition to those at either end. What is the wavelength of the interfering waves for this mode?

Why is the second harmonic of a plucked guitar string likely to be stronger than the first harmonic or fundamental when the string is plucked in the usual position? Explain

We can form standing waves on a rope attached to a wall by moving the opposite end of the rope up and down at an appropriate frequency. Where does the second wave come from that interferes with the initial wave to form the standing wave? Explain

At sporting events the crowd sometimes generates a “wave” that propagates around the stadium. Is this wave transverse or longitudinal? What causes the wave to travel through the crowd? Explain.

The length of an organ pipe that is closed at one end and open at the other is $0.6 \mathrm{~m}$.    a. What is the longest possible wavelength for the interfering sound waves in this pipe that can form a standing wave? b. What is the frequency of this standing wave if the speed of sound is $340 \mathrm{~m} / \mathrm{s}$ ?

Why do two notes that are an octave apart sound so similar? Explain.

Frequency and pitch are related, but are they the same thing? When we identify a note as having a certain pitch, is it likely to contain a single frequency? How does perceived pitch differ for someone who cannot carry a tune from that for a trained musician? Discuss.

Suppose that we increase the temperature of the air through which a sound wave is traveling. a. What effect does this have on the speed of the sound wave? Explain

Is it possible for sound to travel through a steel bar? Explain.