Wave Motion 2 Question 23
23. 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 $P _1$ and $P _2$ is
(1988, 2M)
(a) $8 / 3$
(b) $3 / 8$
(c) $1 / 6$
(d) $1 / 3$
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Answer:
Correct Answer: 23. (c)
Solution:
- $\quad$ First harmonic of closed $=$ Third harmonic of open
$\therefore \quad \frac{v}{4 l _1}=3\left(\frac{v}{2 l _2}\right) \Rightarrow \therefore \quad \frac{l _1}{l _2}=\frac{1}{6}$
