Assertion : The fundamental frequency of an open organ pipe increases as the temperature is increased.…
Assertion : The fundamental frequency of an open organ pipe increases as the temperature is increased.
Reason : This is because as the temperature increases, the velocity of sound increases more rapidly than length of the pipe.
If both assertion and reason are true and reason is the correct explanation of assertion.
Ifboth assertion and reason are true but reason is not the correct explanation of assertion.
If assertion is true but reason is false.
If both assertion and reason are false.
Solution
The fundamental frequency of an open organ pipe is \(n=\frac{v}{2 l}\).
As temperature increases, both \(v\) and I increase but v increase more rapidly than I.
Hence, the fundamental frequency increases as the temperature increases.