Question

the fundamental frequency of an open organ pipe is 300 Hz if one end is closed the fundamental frequency will be??​

Answer 1

$\large\underline{\bigstar \: \: {\sf Given-}}$

• Fundamental frequency of an open organ pipe ${\sf f_o}$ = 300Hz

$\large\underline{\bigstar \: \: {\sf To \: Find -}}$

• If one end is closed then fundamental frequency ${\sf f_c}$.

$\large\underline{\bigstar \: \: {\sf Formula \: Used -}}$

$\large\bullet\underline{\boxed{\sf f_c=\dfrac{\nu}{4\ell}}}$

$\large\bullet\underline{\boxed{\sf f_o=\dfrac{\nu}{2\ell}}}$

$\large\underline{\bigstar \: \: {\sf Solution-}}$

$\implies{\sf f_o=\dfrac{\nu}{2\ell}=300\:\:\:\:(Given) }$

Now ,

It's closed from one end , fundamental frequency for closed organ pipe is -

$\implies{\sf f_c=\dfrac{\nu}{4\ell}}$

$\implies{\sf f_c=\dfrac{\nu}{2\times 2\ell}}$

$\implies{\sf f_c=\dfrac{300}{2}}$

$\implies{\bf f_c=150\:Hz}$

$\large\underline{\bigstar \: \: {\sf Answer-}}$

Fundamental frequency if one end will be closed is ${\bf 150\:Hz}$

Answer 2

Answer:

150

Explanation: