An organ pipe P₁ closed at one end vibrating in its first overtone. Another pipe P₂

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14.Waves and Sound

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An organ pipe $P_1$ closed at one end vibrating in its first overtone. Another pipe $P_2$ open at both ends is vibrating in its third overtone. They are in a resonance with a given tuning fork. The ratio of the length of $P_1$ to that of $P_2$ is

A

$2.67$

B

$0.37$

C

$0.5$

D

$0.75$

Solution

$\frac{3 \mathrm{V}}{4 \mathrm{L}_{1}}=\frac{4 \mathrm{V}}{2 \mathrm{L}_{2}} \Rightarrow \frac{\mathrm{L}_{1}}{\mathrm{L}_{2}}=\frac{3}{8}$

Standard 11

Physics

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