Question

please explain

It is claimed by wind-playing orchestral/band musicians that as their instruments warm up the pitch (frequency) of the notes played by the instrument goes up by a noticeable amount. (That is one of the reasons why wind players warm up before they perform.) Evaluate this claim. If it is reasonable, why? If it is not reasonable, why not? Explain your reasoning using your physics knowledge. If you are at a loss as to how to start thinking about this, think of a simplified wind instrument that is just a pipe, closed at one end and open at the other. As the pipe warms, the air contained in the pipe warms up from room temperature (say, 70F) to the musician's body temperature (98F). What should happen to the permitted resonance frequencies (standing waves) in the pipe? If you feel that you need extra background information to conduct your evaluation, use Google.

Answer 1

due to change in temperature speed of wave also changes. if the temperature increases speed of wave increases. in organ pipe resonant frequencies directly proportional to speed of sound wave in air .

$V = \sqrt{\gamma RT/M}$

$f=V/\lambda$

same concept can be applied in vibrating string instuments like guitar, sitaar etc. speed of transverse standing wave in vibrating string is given by -

$V=\sqrt{T/\mu }$

here    $\mu$ represents linear mass density of wire or string . by increasing temperature linear mass density decreases. thats why pitch ( freaquency) increases.