The temperature helps to determine the speed at which sound travels through air.

Question

The temperature helps to determine the speed at which sound travels through air. The speed of sound is 331.5 +0.607T where T is temperature in degrees C. If the temperature decreases from 20 to 0 degrees C, how does the frequency and wavelength of a tuning fork change?

You cause a resonance tube to go into resonance by hitting a tuning fork above it. The wave will travel down the pipe, be reflected at the water, and travel back up the pipe. The fork undergoes resonance when the length of the path from the fork to the water and back is equal to a multiple of l/2 plus l /4. How could one find the wavelength and frequency of the fork from the second and third length at which the fork resonates.

Explanation / Answer

The frequency is constant. it depends on the source. The wavelenght of the wave changes as,

lemda=v/f =(1/f) (331.5 +0.607T)

lemda20 =(1/f) (331.5 +0.607*20)=1/f*(343.64 m/s)

lemda0=1/f) (331.5 +0.607*0)=1/f*(331.5 m/s)

The wavelenght of the wave at first resonating lenght is

lemds=4L

at second resonanting lenght, lemda=4L/3

at third hormonic lenght, lemda=4L/5

The frequency at second resonating lenght is f2=3v/4L

The frequency at third horminic is, f3=5v/4L

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