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  • Please help! An organ pipe P1is closed at one end and vibrating on its first overtone and another Pipe P2opened at both ends vibrating in its 3rd overtone arein resonance with tunning fork. The ratio of length P1and P2

An organ pipe P1 is closed at one end and vibrating on its first overtone and another Pipe P2 opened at both ends vibrating in its 3rd overtone are in resonance with tunning fork. The ratio of length P1 and P2

 

  • Option 1)

    \frac{1}{3}

  • Option 2)

    \frac{2}{3}

  • Option 3)

    \frac{8}{3}

  • Option 4)

    \frac{3}{8}

 

Answers (1)

best_answer

3\left ( \frac{v}{4l_{1}} \right )= 4\left [ \frac{v}{2l_{2}} \right ]

\frac{l_{1}}{l_{2}}= \frac{3}{8}

 

The frequency in open organ pipe -

\nu = n\cdot \frac{V}{2l}

n= 1,2,3.......

- wherein

V= velocity of sound wave

l= length of pipe

n= number of overtones

 

 


Option 1)

\frac{1}{3}

This is incorrect

Option 2)

\frac{2}{3}

This is incorrect

Option 3)

\frac{8}{3}

This is incorrect

Option 4)

\frac{3}{8}

This is correct

Posted by

divya.saini

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