An air column, closed at one end and open at the other, resonates with a turning fork when the smallest length of the column is 50 cm. The next larger length of the column resonating with the same turning fork is:

  • Option 1)

    66.7 cm

  • Option 2)

    100 cm

  • Option 3)

    150 cm

  • Option 4)

    200 cm

 

Answers (1)

As discussed 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 
ight )frac{lambda }{4}    

 

 For a closed organ pipe, first minimum resonating length

L_{1} = \frac{\lambda }{4}= 50\:cm

Next or second resonating length L2

L_{2} = \frac{3\lambda }{4}=150\:cm


Option 1)

66.7 cm

This option is incorrect

Option 2)

100 cm

This option is incorrect

Option 3)

150 cm

This option is correct

Option 4)

200 cm

This option is incorrect

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