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Two tuning forks A and B give 18 beats "...

Two tuning forks `A and B` give `18 beats "in" 2 s`. A resonates with one end closed air column of `15 cm` long and `B` with both ends open column of `30.5` long. Calculate their frequencies.

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The correct Answer is:
`549 Hz , 540 Hz`.
`n_(A) = (v)/( 4 xx 0.15) , n_(B) = (v)/( 2 xx 0.305)`
Clearly `n_(A) gt n_(B) = 9`
`(v)/( 0.60) - (v)/( 0.61) = 9`
` v = 329.4 m//s`
`n_(A) = (329.4)/(0.60) = 549 Hz`
`n_(B) = n_(A) - 9 = 549 - 9 = 540 Hz`.
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