wave practice

1. Consider a 2-m long string fixed at both ends. The speed of wave travel is 200 m/s in this string. Find the following:

a. wavelengths of the first 3 harmonics
b. frequencies of the first 3 harmonics

(4, 2, 4/3 meters; 50, 100, 150 Hz)

2. Now imagine an organ pipe, 1-m long. The speed of sound (which is the same as the speed of wave travel in an organ pipe) is 340 m/s. Find the same things as above.

(2, 1, 2/3 meters; 170, 340, 510 Hz)

3. What is the effect of capping one end of a tube?

4. Consider a C note, vibrating at 262 Hz. Find the following frequencies:

a. the next C, one octave above this one
b. a C, two octaves above 262 Hz
c. the note C#, one piano key ("semi-tone") above C