A string of length 2 m with both ends fixed is plucked by several curious Physics 9B students. They observe that the standing wave with six nodes between the two fixed ends has a frequency 150 Hz higher than the standing wave with four
nodes between the two fixed ends.
a) Which harmonic is the standing wave with four nodes between the ends? How about the standing wave with six nodes between the ends?
b) What is the frequency of the first harmonic?
c) What is the frequency of the standing wave with four nodes between the ends?
d) What is the speed at which waves travel on the string?
e) Suppose this string is part of a musical instrument. When the string vibrates at its fundamental frequency, what is the wavelength of the sound waves produced? You may use v = 343 m/s for the speed of sound in air.
f) Repeat parts a)-c) for the case that one end of the string is fixed but the other end is free.
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