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JEE Main 201910 JanuaryEvening Shift
Exam
JEE Main
Year
2019
Date
10 January
Shift
Evening Shift
Subject
Physics
Chapter
Waves and Sound

JEE Main 2019 · 10 January · Evening Shift · Physics · Waves and Sound

A closed organ pipe has a fundamental frequency of 1.5kHz . The...

A closed organ pipe has a fundamental frequency of 1.5kHz1.5kHz. The number of overtones that can be distinctly heard by a person with this organ pipe will be (Assumethatthehighestfrequencyapersoncanhearis(Assume that the highest frequency a person can hear is20,000Hz$).

Options

  1. A77
  2. B44
  3. C66
  4. D55

Correct answer

C. 66

Step-by-step solution

For a closed organ pipe, the resonate frequency(harmonics) is an odd multiple of the fundamental frequency.

Therefore, (2n−1)f0≤20000Hz\left(2n - 1\right){f}_{0} \le 20000Hz, where n=1,2,3...</p><p>n = 1, 2, 3 . . .</p><p>{f}_{0} = 1 . 5kHz ⇒fundamentalfrequency</p><p>Then,fundamental frequency</p><p>Then,n = 7</p><p>Thetotalnumberofovertonesthatcanbeheardis</p><p>The total number of overtones that can be heard is6.(. ({2}^{nd}harmonictoharmonic to{7}^{th}harmonic.)</p></blockquote>harmonic. )</p></blockquote>

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