MCQ
The vibrations of four air columns under identical conditions are represented in the figure below. The ratio of frequencies $n_p: n_q: n_r: n_s$ will be
- A$12: 6: 3: 4$
- ✓$1: 2: 4: 3$
- C$4: 2: 3: 1$
- D$6: 2: 3: 4$
✓
Answer
Correct option: B.
$1: 2: 4: 3$
b
(b)
(b)
$P, S$, will be $1^{\text {st }}$ and $2^{\text {nd }}$ harmonics of closed tube.
$P=\frac{v}{4 l}, S=\frac{v}{4 l}$
$Q, R$ are the $1^{\text {st }}$ and $2^{\text {nd }}$ harmonics of open pipe.
$Q=\frac{v}{2 l}, R=\frac{v}{l}$
$\therefore P: Q: R: S=1: 2: 4: 3$
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