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Question

(a) Name one factor on which the frequency of sound emitted due to vibrations in an air column depends.

(b) How does the frequency depend on the factor stated in part (a).

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Solution

(a) The frequency of sound emitted due to vibrations in an air column depends on the length of air column.

(b) An air-filled cylinder that's open on both ends will actually resonate at multiple resonant frequencies, given by

f=nv2L

where n is a positive integer, L is the length of the tube, and v is the speed of sound in air.

So, if the length of the air column increase then the frequency is decreased and vice-versa.


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