The number of possible natural oscillations of column in a pipe closed at one end of length 85 cm whose frequencies lie below 1250 Hz are : (velocity of sound = 340 ms1)

  • Option 1)

    4

  • Option 2)

    5

  • Option 3)

    7

  • Option 4)

    6

 

Answers (1)

As discussed in 

V_{n}= (2n+1)\frac{V}{4l}

n=0,\:\:V_{1}=100Hz\:\:\:\:\:\:\:\:\:\:\:\:\:\:n=3, \:\:V_{3}=700 Hz

n=1,\:\:V_{1}=300Hz\:\:\:\:\:\:\:\:\:\:\:\:\:\:n=4, \:\:V_{4}=900 Hz

n=2,\:\:V_{2}=500Hz\:\:\:\:\:\:\:\:\:\:\:\:\:\:n=6, \:\:V_{6}=1300 Hz

i.e., Possible natural oscillation is 6.


Option 1)

4

This option is incorrect.

Option 2)

5

This option is incorrect.

Option 3)

7

This option is incorrect.

Option 4)

6

This option is correct.

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