Statement I: The fundamental frequency of an open organ pipe increases as the temperature is increased.
Statement II: As the temperature increases, the velocity of sound increases more rapidly than length of the pipe.

Moderate

A

If both statement I and statement II are true and statement II is the correct explanation of statement I.
B

If both statement I and statement II are true but statement II is not the correct explanation of statement I.
C

If statement I is true but statement II is false
D

If both statement I and statement II are false

Solution

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

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