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Two organ pipes both closed at one end, have lengths l and l+Δl .  If the velocity of sound in air is ν , then the number of beats per second produced is :

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a
υ4l
b
υ2l
c
υ4l2Δl
d
υ2l2Δl

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detailed solution

Correct option is C

n1=V4l             n2=V4l+ΔlBeats     n1− n2=V4l1l−1l+Δl=V4l1−11+Δlln1−n2=V4l1−1+Δll−1=V4l1−1−Δll=V4lΔll=VΔl4l2Short cutn=v4l⇒dn=-v4l2dl

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