NEET Physics Question - Waves - Standing Wave in String and Organ Pipe

Assertion (A): The fundamental frequency of an open organ pipe increases as the temperature is increased.

Reason (R): As the temperature increases, the velocity of sound increases more rapidly than length of the pipe.

Both (A) & (R) are true and the (R) is the correct explanation of the (A)

Both (A) & (R) are true but the (R) is not the correct explanation of the (A)

(A) is true but (R) is false

Both (A) and (R) are false

Solution:

The fundamental frequency of an open organ pipe is \(f = \frac{v}{2L}\). Velocity of sound \(v\) increases with temperature as \(v \propto \sqrt{T}\). While the pipe's length \(L\) also increases with temperature, the increase in \(v\) is proportionally greater than \(L\). Thus, \(f\) increases. Both A and R are true, and R correctly explains A.

Rankers Physics

Frequency of Open Organ Pipe and Temperature

Solution:

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