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.

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

Tardigrade Admin · Accepted Answer

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.

Q. 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.

If both assertion and reason are true and reason is the correct explanation of assertion

If both assertion and reason are true but reason is not the correct explanation of assertion

If assertion is true but reason is false

If both assertion and reason are false

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

Q. 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.

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.