Superpositon and Standing Waves problem

Click For 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.
weezer13578
Messages
4
Reaction score
0

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.
 
Physics news on Phys.org
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.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 2 ·
Replies
2
Views
5K
Replies
5
Views
1K
  • · Replies 11 ·
Replies
11
Views
3K