Can someone check my answers (Closed and open tubes)

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AI Thread Summary
The discussion focuses on calculating the fundamental frequency of an original tube based on two segments with known frequencies. The user applied the formulas for open and closed tubes, deriving relationships between the lengths and velocities of sound in the segments. They found a frequency of approximately 161.63 Hz for the original tube, seeking confirmation of their calculations. Additionally, they addressed the refraction of sound, concluding that sound moves from cold to warm air and then back to cold, based on the angles of refraction. The user is looking for validation of both their frequency calculation and their understanding of sound refraction.
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Homework Statement


A tube, open only at one end, is cut into two shorter (non-equal)
lengths. The piece open at both ends has a fundamental frequency
of 425 Hz, while the piece open only at one end has a fundamental
frequency of 675 Hz. What is the fundamental frequency of the
original tube ?

also
Which of the following describes the relative temperatures in the refraction of sound. N is the normal line.

http://img511.imageshack.us/my.php?image=refractionfe5.jpg

Homework Equations


L1+L2=L
V/2L=frequency of open tube
V/4L=Frequency of closed tube

The Attempt at a Solution


For the first question I said the V/2(L1)=425 and V/4(L2)=675. so V=850L1 and V=2700L2. so I solved for L1 and got L1=3.176L2 and using the above equation L=4.176L2. So 2700L2/4(4.176L2)=161.63Hz, it seems resonable but I just want to see if I am right.

As for the other question I said that it moves from cold air to warm air since the angle gets larger and then from warm air to cold air since the angle gets smaller.
 
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Couldn't see the image, but I think this work is good.
 
Here is the image again

http://img511.imageshack.us/img511/4403/refractionfe5.jpg
 
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