First slide

Standing waves

Question

A pipe open at both ends has fundamental frequency $f_{1}$ . When $\frac{3}{4} t h$ of its length is in water, it produces fundamental note of $f_{2}$ . Then $\frac{f_{2}}{f_{1}}$ is

Moderate

A

$\frac{1}{2}$
B

$2$
C

$\frac{3}{4}$
D

$\frac{4}{} 3$

Solution

$f o r o p e n p i p e f_{1} = \frac{v}{2 i} w h e n \frac{3}{4} i s i m m e r s e d i t b e c o m e s a c l o s e d p i p e o f l e n g t h \frac{l}{4} f_{2} = \frac{v}{4 (\frac{l}{4})} = \frac{v}{l}$

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