A tube that is open at both ends is filled with an unknown gas. The tube is 190 cm long and 3 cm in...

Question

A tube that is open at both ends is filled with an unknown gas. The tube is 190 cm long and 3 cm in diameter. By using different tuning forks it is found that resonances can be excited at frequencies of 315 Hz, 420 Hz and 525 Hz, and at no other frequencies in between.
We now the speed of sound in this gas is 399 m/s.
Can you determine the amplitude of the wave? If so, what is it? If not, why not?

Robert · Accepted Answer

Microsoft Word - TTs311012_49042_3.doc
The tube with open end: 
 
190L cm=  
3d cm=  
 
Resonances at   
1
2
3
315
420
525
f Hz
f Hz
f Hz
=
=
=
 
 
With the given data, it is indeed possible to find out the velocity of the waves. But the amplitude of the wave 
can not be found out, as theoretically any amplitude is possible for a fixed frequency of a wave.

A tube that is open at both ends is filled with an unknown gas. The tube is 190 cm long and 3 cm in diameter. By using different tuning forks it is found that resonances can be excited at frequencies...

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