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Question: question the speed of sound in air on a certain...

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Question:

The speed of sound in air on a certain day is 342 m/s.342 m/s. A tube is partially submerged in water and a note with a frequency of 960 Hz960 Hz is played through headphones at the end of the tube (Figure 1). It is observed that the first resonance occurs when L=7.55 cm.L=7.55 cm.

Figure 1: Diagrammatic representation of a set of headphones emitting a note through the end of a tube that is partially submerged in a container of water. When the length of the unsubmerged portion of the tube is L cm, the first resonance is observed.

Figure 1: Diagrammatic representation of a set of headphones emitting a note through the end of a tube that is partially submerged in a container of water. When the length of the unsubmerged portion of the tube is L cmL cm, the first resonance is observed.

 

Part 1)

How large are the end effects?

e=e=  cmcm

 

Part 2)

What length of tube should be above the water to hear the 7th7th harmonic?

L=L=  cmcm

 

Part 3)

If the frequency of the tone is now increased to 1086 Hz,1086 Hz, what length of pipe is now needed to hear the first resonance?

x=x=  cmcm

 

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