Sound waves are passing through two routes-one in atraight path and the other along a semicireular path of radius r and are again combined into one pipe and superposed as shown in the figure. If the v

Question

Sound waves are passing through two routes-one in atraight path and the other along a semicireular path of radius r and are again combined into one pipe and superposed as shown in the figure. If the velocity of sound waves in the pipe is v , then frequencies of resultant waves of maximum amplitude will be integral multiples of

TestHub · Accepted Answer

Path difference = ( π r − 2 r ) = ( π − 2 ) r = nλ (wheref = frequency) v ⇒ λ v ​ ​ = f × λ = f ⇒ f = n [ ( π − 2 ) r v ​ ] n ​ So, multiples integral = [ ( π − 2 ) r v ​ ]

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