For a tube closed at one end-
1/λ = v/4l (λ= wavelength and v= speed of sound).
Increasing the temperature ultimately increases speed as well as frequency of sound.
for sound there is the relation n=c/λ. (n=frequency, c=speed of sound,λ=wavelength)
As for length and temperature relation...
You are right haruspex. I also tried finding frequency in the two cases but the required answer is in terms of T and alpha. I can get alpha in the answer expression but I have no idea about how to get T in the expression.
Homework Statement
Q. A hollow metallic tube closed at one end produces resonance with a tuning fork of frequency n at temperature T. The temperature of the tube is increased by dT. If the coefficient of thermal expansion of the tube metal is alpha, the beat frequency will be - (there are 4...