Two tuning forks `A` and `B` sounded together give `8` beats per second. With an air resonance tube closed at one end, the two forks give resonances when the two air columns are `32 cm` and `33 cm` respectively. Calculate the frequenciec of forks.

Two tuning forks `A` and `B` sounded together give `8` beats per secon

1.	Two tuning forks `A` and `B` sounded together give `8` beats per second. With an air resonance tube closed at one end, the two forks give resonances when the two air columns are `32 cm` and `33 cm` respectively. Calculate the frequenciec of forks.
Answer» Let the frequency of the first fork be `f_(1)` and that of second be `f_(2)`. We rgen have, `f_(1) = (nu)/(4 xx32)` and `f_(2) = (nu)/(4 xx33)` We also see that `f_(1) gt f_(2)` `:. f_(1) - f_(2) = 8` …(i) and `(f_(1))/(f_(2)) = (33)/(32)` ..(ii) ltbgt Solving Eqs. (i) and (ii), we get `f_(1) = 264 H_(Z)` and `f_(2) = 256 H_(Z)`

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Two tuning forks `A` and `B` sounded together give `8` beats per second. With an air resonance tube closed at one end, the two forks give resonances when the two air columns are `32 cm` and `33 cm` respectively. Calculate the frequenciec of forks.

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