Question

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.

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

Answer 1

Answer: (A)

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