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Two organ pipes, each closed at one end, give 5 beats per second when emitting their fundamental notes. If their lengths are in the ratio of 50 : 51, their fundamental frequencies (in Hz) are?

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iitimcomin ·

SO THIER CLOSED IN 1 END AND OPEN IN OTHER RITE ........

L = λ/4 ...............[FUNDEMENTAL]

4L = v/f ...........

f = v/4L .......

f1 - f2 = 5 = v/4(1/L2 - 1/L1) ..........

v(L1 - L2)/L1L2 = 20 ...............

TAKE L1 = 51/50L2 ..............

v(L2)/51(L2)2 = 20 ..........

v/51(L2) = 20 ......................

L2 = v/1020 ...................

L1 = 51/50(v/1020 ) ................

f1 = v/4L1 ....

f2 = v/4L2 .......

PUT VAL. OF L1 , L2 ,,, ULL GET ANS .......

DONT WORRY IF VEL OF SOUND IS NOT GIVEN IT GETZ CANCELLED ....[1]

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