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Question

# Two similar open organ pipes of length 50 cm and 50.5 cm produce 3 beats per second when sounded together in fundamental nodes. The velocity of sound in air is

A
303 m/s
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B
330 m/s
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C
151.5 m/s
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D
603 m/s
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Solution

## The correct option is A 303 m/sGiven that, L1=50 cm,L2=50.5 cm n1−n2=3 beats/s AsL2>L1 so n2<n1 For open pipe, in case of fundamental node n=v2L ∴v2(1L1−1L2)=3 ∴v10−2(150−150.5)=6 ∴v=6×50×50.5×10−20.5=303 m/s Why this question? In open organ pipe resonance occurs when length of the pipe L=nλ2 where n=1,2,..etc

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