Superpositon and Standing Waves problem

AI Thread Summary
The problem involves calculating sound frequencies for a child's ear canal, which is 1.3 cm long, to determine increased hearing sensitivity. The formula used is f = m(v/4L), where m represents the mode number. The correct frequencies are found by using m values of 1 and 3, yielding 6600 Hz and 19800 Hz, both of which fall within the audible range. The discussion clarifies that the method is appropriate, and the next resonance frequency should be three times the first. The solution emphasizes the need for specific frequencies rather than a range.
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Homework Statement


A child has an ear canal that is 1.3 cm long. At what sound frequencies in the audible range will the child have increased hearing sensitivity?


Homework Equations


for open-closed tube, f= m(v/4L)


The Attempt at a Solution


I need two frequencies since the question is asking for a rage in which the child has increased hearing sensitivity. So I thought for an open-closed tube, I could use f= m(v/4L) where m=1 and 3. But my answer does not work. How do I know what nodes (m) to choose? Please help.
 
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I have previously found 6600 and 2.0*10^4 using m=1 and 3, and this range didn't work.
Could anyone help?
 
The question is asking for specific frequecies in the audible range; not a range of frequencies.
The method is correct. 6600Hz is in the audible range (quarter wavelength). The next resonance should be at 3 times that value. (3/4 wavelength)
Audible range goes up to 20000Hz typically.
 
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