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The 3rd overtone of a closed organ pipe is equal to the 2nd harmonic of an open organ pipe. The ratio of their lengths is equal to

  • Option 1) (7/4)
  • Option 2)(3/5)
  • Option 3) (3/2)
  • Option 4) (7/6)
 

Answers (1)

best_answer

3rd overtonr of closed = 2nd harmonic of open

7\left [ \frac{V}{4l_{c}} \right ]= 2\left [ \frac{V}{l_{0}} \right ]

\frac{l_{c}}{l_{0}}= \frac{7}{4}

 

Closed organ pipe -

A closed organ pipe is a cylindrical tube having an air colume with one end closed.

- wherein

Condition of constructive interference

l=\left ( 2n+1 \right )\frac{\lambda }{4}    

 

 


Option 1)

\frac{7}{4}

This is correct

Option 2)

\frac{3}{5}

This is incorrect

Option 3)

\frac{3}{2}

This is incorrect

Option 4)

\frac{7}{6}

This is incorrect

Posted by

Avinash

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