PhysicsThe number of possible natural oscillations of air column in a pipe closed at one end of length 85 cm whose frequencies lie below 1250 Hz are (Velocity of sound = 340 m s-1) 

The number of possible natural oscillations of air column in a pipe closed at one end of length 85 cm whose frequencies lie below 1250 Hz are (Velocity of sound = 340 m s-1

  1. A

    4

  2. B

    5

  3. C

    7

  4. D

    6

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    Solution:

    Fundamental frequency of the closed organ pipe is

    v=v4L

     Here, v=340 m s-1,L=85 cm=0.85 m

      v=340 m s-14×0.85 m=100 Hz

    The natural frequencies of the closed organ pipe will be

    vn=(2n-1)v=v,3v,5v,7v,9v,11v,13v,

           =100 Hz,300 Hz,500 Hz,700 Hz,900 Hz

                                                     1100 Hz,1300 Hz, and so on. 

    Thus, the natural frequencies lies below the 1250 Hz is 6.

     

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