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14. waves and sound — Physics STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 SciencePhysics14. waves and sound1 Mark
MCQ
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
    $2.67$
  • ✓
    $0.37$
  • C
    $0.5$
  • D
    $0.75$
✓

Answer

Correct option: B.
$0.37$
b
$\frac{3 \mathrm{V}}{4 \mathrm{L}_{1}}=\frac{4 \mathrm{V}}{2 \mathrm{L}_{2}} \Rightarrow \frac{\mathrm{L}_{1}}{\mathrm{L}_{2}}=\frac{3}{8}$

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