MCQ
A closed pipe and an open pipe have their first overtones identical in frequency. Their lengths are in the ratio
- A$1: 2$
- B$2: 3$
- ✓$3: 4$
- D$4: 5$
✓
Answer
Correct option: C.
$3: 4$
If is given that First over tone of closed pipe $=$ First over tone of open pipe
$\Rightarrow 3\left(\frac{v}{4 l_1}\right)=2\left(\frac{v}{2 l_2}\right) ;$ where $l$ and $l$ are the lengths of closed and open organ pipes hence $\frac{l_1}{l_2}=\frac{3}{4}$
$\Rightarrow 3\left(\frac{v}{4 l_1}\right)=2\left(\frac{v}{2 l_2}\right) ;$ where $l$ and $l$ are the lengths of closed and open organ pipes hence $\frac{l_1}{l_2}=\frac{3}{4}$
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