When open pipe is closed from one end then third overtone of closed pipe is higher in frequency by $150 \mathrm{Hz}$ than second overtone of open pipe. The fundamental frequency of open end pipe will be

A closed organ pipe and an open organ pipe of the same length produce $2 \mathrm{beats} \mathrm{per} \mathrm{second}$ while vibrating in their fundamental modes. The length of the open organ pipe is halved and that of the closed pipe is doubled. Then, the number of beats produced per second while vibrating in the fundamental mode is

An open pipe of length $L$ vibrates in its fundamental mode. The pressure variation is maximum

If length of a closed organ pipe is $1  \mathrm{m}$ and velocity of sound is $330 \mathrm{m} {\mathrm{s}}^{-1},$ then the frequency of $1^{\text {st }}$ overtone is

In a long cylindrical tube, the water level is adjusted and the air column is made to vibrate in unison with a vibrating tuning fork kept at the open end. Resonances are obtained when lengths of air column are

In a resonance tube, the first resonance occurs at $16 \mathrm{cm}$ and the second resonance occurs at $49 \mathrm{cm}$. The end corrections will be

The end correction of a resonance column is $1 \mathrm{cm}$. If the shortest length resonating with a tuning fork is $15 \mathrm{cm}$, then the next resonating length is

In fundamental mode, the time required for the sound wave to reach upto the closed end of a pipe filled with air is $0.01 \mathrm{s}$. The frequency of vibration of air column is

Two closed organ pipes of length $100 \mathrm{cm}$ and $101 \mathrm{cm}$ produce 16 beats in $20 \mathrm{s}$. When each pipe is sounded in its fundamental mode, calculate the velocity of sound.