A tuning fork with a frequency of 440 Hz is held above aresonance tube that is p

Question

A tuning fork with a frequency of 440 Hz is held above aresonance tube that is partially filled with water. Assuming thatthe speed of sound in air is 342 m/s, for what three smallestheights of the air column will resonance occur? Where will thenodes and antinodes occur?
(Hint: For resonance to occur, the frequency of the tuning forkmust match that of the tube.) A tuning fork with a frequency of 440 Hz is held above aresonance tube that is partially filled with water. Assuming thatthe speed of sound in air is 342 m/s, for what three smallestheights of the air column will resonance occur? Where will thenodes and antinodes occur?
(Hint: For resonance to occur, the frequency of the tuning forkmust match that of the tube.)

Explanation / Answer

Since the wavelength is 342 m/s / 440 1/s =0.78 meters, the firstresonance would be 0.78m/4=0.19m, the second 0.19*2=0.39m,and the third 0.19*3=0.58 meters.

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