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  • Help me understand! Tube A has both ends open while tube B has one end closed, otherwise they are identical. The ratio of fundamental frequency of tube A and B

Tube A has both ends open while tube  B has one end closed, otherwise they are identical. The ratio of fundamental frequency of tube  A and B

  • Option 1)

    1:2

  • Option 2)

    1:4

  • Option 3)

    2:1

  • Option 4)

    4:1

 

Answers (1)

best_answer

As we learnt in

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}    

 

 

 

In tube A,    \lambda _{A}= 2l

In tube B     \lambda _{B}= 4l 

 

\therefore \: \: \: \: \upsilon _{A}= \frac{\nu }{\lambda _{A}}= \frac{\nu }{2l}

\therefore\: \: \: \: \upsilon _{B}= \frac{\nu }{\lambda _{B}}= \frac{\nu }{4l}

\frac{\upsilon _{A}}{\upsilon _{B}}= \frac{2}{1}=2:1

Correct option is 3


Option 1)

1:2

This is an incorrect option.

Option 2)

1:4

This is an incorrect option.

Option 3)

2:1

This is the correct option.

Option 4)

4:1

This is an incorrect option.

Posted by

divya.saini

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