Answered

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A group of physics students set a tuning fork of 500 Hz just above a big cooking pot. The tuning for is struck and continues to ring throughout the experiment. The students pour water into the pot until they hear the resonance of the fundamental mode.

If the cooking pot is 0.2 meters tall, how long is the wavelength of the resonance created?

What is an estimate for the speed of sound in this situation?

You may discover that the speed of sound seems a bit off. Write down some ideas on why that is.

Sagot :

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(a) The wavelength of the resonance created is 0.8 m.

(b) The speed of the sound in the fundamental mode is 400 m/s.

(c) The low value of speed of speed of sound in water calculated may be as a result of low temperature of the water poured into the cooking pot.

Wavelength of the resonance created

The wavelength of the resonance created is determined by assuming the cooking pot to be a closed pipe.

Wavelength of fundamental mode of a closed pile = 4L

where;

  • L is length of the pipe

λ = 4 x 0.2 = 0.8 m

Estimated speed of sound

The speed of the sound in the fundamental mode is calculated as follows;

v = fλ

v = 500 x 0.8

v = 400 m/s

Sound wave is directly proportional to temperture, as the temperature of the water increases, the speed of sound increases as well.

The low value of speed of speed of sound in water calculated may be as a result of low temperature of the water poured into the cooking pot.

Learn more about speed of sound here: https://brainly.com/question/2142871

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