Question

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 that length of pipe.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

For an open organ pipe fundamental frequency is expressed as $\nu =\frac{v}{2l}$, where $v$ is the velocity of the wave and $l$ is the length of an organ pipe.

Since the velocity increases rapidly with the increase of temperature in comparison with the increase in its length. Therefore, it is clear that the frequency increases with the increase of temperature.