Hand draw the first three modes of a standing wave with two fixed ends (like a guitar string).  If the length of the resonant cavity is L, what are the wavelengths of these first three modes?

How long (in m) must a flute be in order to have a fundamental frequency of 262 Hz (this frequency corresponds to middle C on the evenly tempered chromatic scale) on a day when air temperature is 27.8°C? It is open at both ends. Additional Materials O Reading

For the first four resonant modes of a stretched string 100 cm long draw standing waves for each and label the nodes N and in the antinodes A.  Label each mode by its harmonic number and it’s frequency relative to the fundamental frequency of the string.

Wave on a string: set wave to oscillate, end type to no end, amplitude to 1.20 cm, frequency to 2.5 hz, damping to 0,and tension to high, make sure to check the rulers and timer boxes a. Measure wavelength and period wavelength____cm, period _____s b. Calculate the frequency from the period you found in a. c. Calculate the wave speed based on your findings in a. and b. d. Assume the "high" position of the tension as 0.00008 N, calculate the linear mass density () of the string. = ___kg/m