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JIPMER2005PhysicsWaves and Sound

A closed orgon pipe and an open orgon pipe are tuned to the same fundamental frequency. What is the ratio of their lengths?

Options

  1. A1: 2
  2. B2: 1
  3. C2: 3
  4. D4: 3

Correct answer

A. 1: 2

Step-by-step solution

Avoiding end correction, the length of the closed organ pipe is l₁= ₁ 4 or ₁=4 l₁ The length of open organ pipe is l₂= ₂ 2 or ₂=2 l₂ Here, n₁=n₂ So, v ₁ = v ₂ or v 4 l₁ = v 2 l₂ Therefore, l₁: l₂=1: 2

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