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.

Options

A. If both assertion and reason are true and the reason is the correct explanation of the assertion.
B. If both assertion and reason are true but reason is not the correct explanation of the assertion
C. If assertion is true but reason is false.
D. If the assertion and reason both are false.

Answer

A

Explanation

The fundamental frequency of an open organ pipe is `n=(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.