Question 8: Waves

Question

The fundamental frequency of a closed organ pipe is same as the first overtone frequency of an open organ pipe. If the length of open organ pipe is 50 cm , then the length of closed organ pipe is

Accepted Answer

For closed organ pipe, fundamental frequency,
$$ f_1=\frac{v}{4 l_c} $$
For open organ pipe, first overtone frequency,
$$ f_2=\frac{2 v}{2 l_0}=\frac{v}{l_0} $$
$$ \begin{aligned} &	ext { Now, } f_1=f_2 \Rightarrow \frac{v}{4 l_c}=\frac{v}{l_0}\ &	herefore l_c=\frac{l_0}{4}=\frac{50}{4}=12.5 \mathrm{~cm} \end{aligned} $$

Answer

25 cm

Answer

12.5 cm

Answer

100 cm

Answer

200 cm

Waves

The fundamental frequency of a closed organ pipe is same as the first overtone frequency of an open organ pipe. If the length of open organ pipe is 50 cm , then the length of closed organ pipe is

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