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