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JEE Mains · Physics · STD 11 - 14. waves and sound

The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe. If the length of the closed organ pipe is \(20 \,cm\). The length of the open organ pipe is........\(cm\).

  1. A \(90\)
  2. B \(88\)
  3. C \(80\)
  4. D \(100\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(80\)

Step-by-step Solution

Detailed explanation

\(f _{1}=\frac{2 v }{2 l _{1}}\) \(f _{2}=\frac{ v }{41_{2}}\) \(f _{1}= f _{2}\) \(=\frac{2 v }{2 l _{1}}=\frac{ v }{41_{2}}\) \(1_{1}=41_{2}=80 \,cm\)
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