The number of possible natural oscillations of air column in a pipe closed at one end of length 85

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. 6

2. 4

3. 5

4. 7

Solution

We know that,

Frequency,

Therefore, Fundamental Frequency of a closed

where, n= number of harmonics or number of oscillations.

Similarly,

Therefore, the frequencies lies below 1250 Hz are 6, they are -

Hence, option(1) 6 is correct answer.

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