Find out the coefficient of linear expansion of the material of an open pipeso that the frequency of any tone emitted from itdoes not very with temperature .

Find out the coefficient of linear expansion of the material of an ope

1.	Find out the coefficient of linear expansion of the material of an open pipeso that the frequency of any tone emitted from itdoes not very with temperature .
Answer» <html><body><p></p>Solution :The fundamental <a href="https://interviewquestions.tuteehub.com/tag/frequencies-999868" style="font-weight:bold;" target="_blank" title="Click to know more about FREQUENCIES">FREQUENCIES</a> at ` 0^(@)` C and` t^(@)` C are respectively ,<br/>`n_(1) = (V_(0))/(2l_(0)) and n_(2) (V_(t))/(2l_(t))`<br/>Here,`V_(0)`= velocity of <a href="https://interviewquestions.tuteehub.com/tag/sound-648690" style="font-weight:bold;" target="_blank" title="Click to know more about SOUND">SOUND</a> at ` 0^(@) C l_(0)`= length of the pipeat ` 0^(@) C , V_(t)` = velocity of sound at ` t^(@) C , l_(t)` = length of the pipe at ` t^(@) C ` .<br/>According to the question, ` n_(1) = n_(2)`<br/>so , ` (V_(0))/(2l_(0)) = (V_(t))/(2l_(t))`<br/>or , `V_(0) l_(t) = V_(t) l_(0) or V_(0) l_(0) (1 + alpha t) = V_(0) ( 1 + 0 .00183 t) l_(0)`<br/>[`alpha = ` coefficient of <a href="https://interviewquestions.tuteehub.com/tag/linear-1074458" style="font-weight:bold;" target="_blank" title="Click to know more about LINEAR">LINEAR</a> expansion]<br/>or, ` alpha = 0 . 00183^(@) C^(-1)` .</body></html>