A piston fitted in cylindrical pipe is pulled as shown in the figure. A tuning fork is sounded at open end…
A piston fitted in cylindrical pipe is pulled as shown in the figure. A tuning fork is sounded at open end and loudest sound is heard at open length $13\text{ cm}$, $41\text{ cm}$ and $69\text{ cm}$. The frequency of tuning fork, if velocity of sound is $350\text{ ms}^{-1}$, is [DUMET 2011]
1250 Hz
625 Hz
417 Hz
715 Hz
Solution
In a closed organ pipe in which length of air-column can be increased or decreased. The first resonance occurs at $\lambda / 4$ and second resonance occurs at $3\lambda / 4$.