An organ pipe of \( (3.9 \pi) \mathrm{m} \) long, open at both ends is driven to third harmonic ...

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An organ pipe of \( (3.9 \pi) \mathrm{m} \) long, open at both ends is driven to third harmonic standing wave. If the amplitude of pressure oscillation is \( 1 \% \) of mean atmospheric pressure \( \left[p_{0}=10^{5} \mathrm{~N} / \mathrm{m}^{2}\right] \). The
P maximum displacement of particle from mean position will be [Given, velocity of sound \( =200 \mathrm{~m} / \mathrm{s} \) and density of air \( =1.3 \mathrm{~kg} / \mathrm{m}^{3} \) ]
W.
(a) \( 2.5 \mathrm{~cm} \)
(b) \( 5 \mathrm{~cm} \)
(c) \( 1 \mathrm{~cm} \)
(d) \( 2 \mathrm{~cm} \)
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