Q135 / 180 · JIPMER 2018 · Physics

A organ pipe open on both ends in the $\mathrm{n}^{\text {th }}$ harmonic is in resonance with a source of 1000 Hz . The length of pipe is 16.6 cm and speed of sound in air is $332 \mathrm{~m} / \mathrm{s}$. Find the value of $n$.

  • A
    $3$
  • B
    $2$
  • Correct answer
    C
    $1$
  • D
    $4$

Solution

Given that, $\mathrm{f}=1000 \mathrm{~Hz}, \mathrm{v}=332 \mathrm{~m} / \mathrm{s}, \mathrm{l}=16.6 \mathrm{~cm}$$=16.6 \times 10^{-2} \mathrm{~m}$ Frequency in a organ pipe open on both ends, $\mathrm{f}=\frac{\mathrm{nv}}{2 \mathrm{l}}$ or $\quad \mathrm{n}=\frac{2 \mathrm{fl}}{\mathrm{v}}$ or $\quad \mathrm{n}=\frac{2 \times 1000 \times 16.6 \times 10^{-2}}{332}=1$

Hence, the correct answer is option: 'C'.

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