MCQ
If $v$ is the speed of sound in air then the shortest length of the closed pipe which resonates to a frequency $n$
  • $\frac{v}{{4n}}$
  • B
    $\frac{v}{{2n}}$
  • C
    $\frac{{2n}}{v}$
  • D
    $\frac{{4n}}{v}$

Answer

Correct option: A.
$\frac{v}{{4n}}$
a
(a) For shortest length of pipe mode of vibration must be fundamental

i.e., $n = \frac{v}{{4l}}$==> $l = \frac{v}{{4n}}.$

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