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JIPMER 2018
Exam
JIPMER
Year
2018
Subject
Physics
Chapter
Waves and Sound

JIPMER 2018 · Physics · Waves and Sound

A organ pipe open on both ends in the n^ th harmonic is in...

A organ pipe open on both ends in the nth \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 332m/s.Findthevalueof332 \mathrm{ m} / \mathrm{s} . Find the value ofn..

Options

  1. A33
  2. B22
  3. C11
  4. D44

Correct answer

C. 11

Step-by-step solution

Given that, f=1000 Hz,v=332 m/s,l=16.6 cm\mathrm{f}=1000 \mathrm{~Hz}, \mathrm{v}=332 \mathrm{~m} / \mathrm{s}, \mathrm{l}=16.6 \mathrm{~cm}=16.6×10−2 m=16.6 \times 10^{-2} \mathrm{~m} Frequency in a organ pipe open on both ends, f=nv2l\mathrm{f}=\frac{\mathrm{nv}}{2 \mathrm{l}} or n=2flv\quad \mathrm{n}=\frac{2 \mathrm{fl}}{\mathrm{v}} or n=2×1000×16.6×10−2332=1\quad \mathrm{n}=\frac{2 \times 1000 \times 16.6 \times 10^{-2}}{332}=1
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