\( n_{1} \) is the frequency of the pipe closed at one end and \( n_{2} \) is the frequency of t...

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Frequency (2001)
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\( n_{1} \) is the frequency of the pipe closed at one end and \( n_{2} \) is the frequency of the pipe open at both ends. If both are joined end to end, find the fundamental frequency of closed pipe so formed.
(a) \( \frac{n_{1} n_{2}}{n_{2}+2 n_{1}} \)
(b) \( \frac{n_{1} n_{2}}{2 n_{2}+n_{1}} \)
(c) \( \frac{n_{1}+2 n_{2}}{n_{2} n_{1}} \)
(d) \( \frac{2 n_{1}+n_{2}}{n_{2} n_{1}} \)
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