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Q.

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

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a

n2n+1

b

n+12n

c

2(n+1)2n+1

d

n+12n+1

answer is B.

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Detailed Solution

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Frequency of nth overtone for a open organ pipe

fn=(n+1)C2l

Frequency of nth overtone for a closed organ pipe

fn=(2n+1)C4l

Therefore, ratio of the frequencies is 

(n+1):2n+12

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