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.
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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
answer is A.
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Detailed Solution
The fundamental frequency of an open organ pipe is n =v2l. As temperature increases, both v and l increase but v increases more rapidly than l. Hence, the fundamental frequency increases as the temperature increases.