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A longitudinal standing wave is established in a tube open at both ends. The frequency of...

A longitudinal standing wave is established in a tube open at both ends. The frequency of the standing wave is 780 Hz. What is its wavelength?

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Answer #1

Frequency of standing wave of pipe of both ends open is

where v = velocity of sound wave

= wavelength of standing wave

Velocity, v = 343 m/s

frequency, f = 780 Hz

So,

Putting the values of and f in the previous equation, we get

So the wavelength is 0.44 meter.

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