Q. An organ pipe $P_{1}$ closed at one end vibrating in its first harmonic and another pipe $P_{2}$ open at both ends vibrating in its third harmonic are in resonance with a given tuning fork. The ratio of the length of $P_{1}$ to that $P_{2}$ is

A) $1/3$
B) $1/6$
C) $3/8$
D) $8/3$
Explanation

(b) As $\frac{v}{4l_{1}} = \frac{3v}{2l_{2}}$
$\therefore\ \ \frac{l_{1}}{l_{2}} = \frac{2}{12} = \frac{1}{6}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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