Assertion The fundamental frequency of an open organ pipe increases as the temperature is increased. Reason…

Assertion The fundamental frequency of an open organ pipe increases as the temperature is increased. Reason As the temperature increases, the velocity of sound increases more rapidly than length of the pipe.
  1. Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
  2. Both Assertion and Reason are correct but Reason is not the correct explanation of Assertion.
  3. Assertion is correct but Reason is incorrect.
  4. Both Assertion and Reason are incorrect.

Solution

The fundamental frequency of an open organ pipe is $n = \frac{v}{2l}$. As temperature increases, both $v$ and $l$ increase but $v$ increases more rapidly than $l$. Hence, the fundamental frequency increases as the temperature increases.

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