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Q.

An open organ pipe and closed pipe have same length.  The ratio of frequencies of their nth overtone is    

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a

n2n+1

b

n+12n+1

c

n+12n

d

2(n+1)2n+1

answer is B.

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Detailed Solution

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In open pipe nth over tone = (n+1) harmonic
f1=(n+1)V2l 
In closed pipe nth over tone = (2n+1) harmonic
f2=(2n+1)V4lf1f2=2(n+1)2n+1

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