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NEET
Exam
NEET
Subject
Physics
Chapter
Waves and Sound

NEET · Physics · Waves and Sound

Assertion : Fundamental frequency of a narrow organ pipe is more...

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.

Options

  1. AIf both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
  2. BIf both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
  3. CIf Assertion is true but Reason is false.
  4. DIf Assertion is false but Reason is true.

Correct answer

C. If Assertion is true but Reason is false.

Step-by-step solution

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