An organ pipe \( P_{1} \) closed at one end vibrating in its first overtone. Another pipe \( \ma...

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An organ pipe \( P_{1} \) closed at one end vibrating in its first overtone. Another pipe \( \mathrm{P}_{2} \) open at both
\( \mathrm{P} \) ends is vibrating in its third overtone. They are in

W) a resonance with a given tuning fork. The ratio of the length of \( P_{1} \) to that of \( P_{2} \) is :
(1) \( \frac{8}{3} \)
(2) \( \frac{3}{8} \)
(3) \( \frac{1}{2} \)
(4) \( \frac{3}{4} \)
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