Physics of Music Phys 121

Quiz 2

1. Carefully plot two sine waves of unit amplitude on the same graph versus time. The frequencies of the two waves are 500 and 1000 Hz.

2. Draw the lowest four modes of oscillation of a string. Identify the nodes and antinodes. What is the ratio of frequencies between the 4th and 3rd modes?

3. Carefully define simple harmonic motion. Under what conditions does it occur.

4. A cellist plays the C-string and produces a note with fundamental frequency 130 Hz. If the string is one meter long, what is the speed of waves along the string?