A sound wave has a frequency of 680 Hz in air and a wavelength of 0.48 m. What is the temperature of the air? Assume the velocity of sound at 0◦C is 330 m/s. Answer in units of ◦C.
Suppose temperature of the air = T
f = frequency of sound wave at this temperature T = 680 Hz
wavelength = 0.48 m
v = velocity of sound wave at this temperature T = f * wavelength = 680 * 0.48 = 326.4 m/s
vo = velocity of sound at 0◦C = 330 m/s
formula: v = vo + 0.61 *T
326.4 = 330 + 0.61 *T
T = - 5.9 degree celcius
A sound wave has a frequency of 680 Hz in air and a wavelength of 0.48...
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