Assertion : Fundamental frequency of a narrow organ pipe is more than a broad diameter organ pipe of same length. Reason: If we apply Laplace end correction, then fundamental frequency of a closed organ pipe is more than v/4I.

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Correct answer: C. If Assertion is true but Reason is false.

Assertion: True. For the same physical length (L ), a narrow pipe has smaller end correction than a broad pipe, so its effective length (L_ eff =L+e ) is smaller and therefore its fundamental frequency (f 1 / L_ eff ) is larger. Reason: False. Applying end correction increases the effective length, so the actual fundamental frequency is less than (v /(4 L) ), not more. The Reason's statement is therefore incorrect.

Assertion : Fundamental frequency of a narrow organ pipe is more than a broad diameter organ pipe of same length. Reason: If we apply Laplace end correction, then fundamental frequency of a closed organ pipe is more than v/4I.

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