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COMEDK · Physics · 16. Waves and Sound

An open pipe immersed in water to half its length. The ratio of the fundamental frequency of the pipe before and after immersion in water is

  1. A \(1: 2\)
  2. B \(1: 1\)
  3. C \(1: 3\)
  4. D \(1: 4\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(1: 1\)

Step-by-step Solution

Detailed explanation

Let \(L_{o}\) be the length of air column in pipe. After immersion, \[ L_{c}=\frac{L_{0}}{2} \] Fundamental frequency in open pipe, \(f_{o}=\frac{v}{2 L_{0}}\) Fundamental frequency in closed pipe, \(f_{c}=\frac{v}{4 L_{c}^{r}}\)…