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Can someone help me with this, The number of possible natural oscillation 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 ms-1)

The number of possible natural oscillation 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 ms-1)

  • Option 1)

    4

  • Option 2)

    5

  • Option 3)

    7

  • Option 4)

    6

 
Answers (1)
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As learnt 

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}    

 

 f = (2x+1)\frac{v}{4l}

if    n = 0     f0 = 100 Hz

     n = 1      f1 = 300 Hz

     n = 2      f2 = 500 Hz

     n = 3      f3 = 700 Hz

     n = 4      f4 = 900 Hz

     n = 5      f5 = 1100 Hz

     n = 6      f6 = 1300 Hz

Possible natural oscillation whose frequecies < 1250 Hz = 6 (n = 0, 1, 2, 3, 4, 5)


Option 1)

4

Incorrect

Option 2)

5

Incorrect

Option 3)

7

Incorrect

Option 4)

6

Correct

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