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  • Answer please! For a certain pipe, three succesive resonance frequencies are observed at 425, 595, 765 Hz. The speed of sound in air is 340 m/s. The pipe is

For a certain pipe, three succesive resonance frequencies are observed at 425, 595, 765 Hz. The speed of sound in air is 340 m/s. The pipe is 

  • Option 1)

    Closed pipe of length 1 m.

  • Option 2)

    Closed pipe of length 2 m.

  • Option 3)

    open pipe of length 1 m.

  • Option 4)

    open pipe of length 2 m.

 

Answers (1)

best_answer

f_{1}:f_{2}:f_{3}= 5:7:9

these are odd harmonics , pipe is closed.

5\left ( \frac{v}{4l} \right )= 425

l=\frac {425\times 4}{5\times 340}= 1

 

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)

Closed pipe of length 1 m.

This is correct

Option 2)

Closed pipe of length 2 m.

This is incorrect

Option 3)

open pipe of length 1 m.

This is incorrect

Option 4)

open pipe of length 2 m.

This is incorrect

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Plabita

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