An open organ pipe of length $L$ has a fundamental frequency $f$. A hole is drilled at $L/4$ from one end. The fundamental frequency of the pipe now becomes:

${v_1}\, and \,{v_2}$ are the velocities of sound at the same temperature in two monoatomic gases of densities ${\rho _1}$ and ${\rho _2}$ respectively. If ${\rho _1}/{\rho _2} = \frac{1}{4}$ then the ratio of velocities ${v_1}{\mkern 1mu} \,\,and\,\,{\mkern 1mu} {v_2}$ will be

In open organ pipe, if fundamental frequency is $n$ then the other frequencies are

If the length of a closed organ pipe is $1.5\,\,m$ and velocity of sound is $330\,\,m/s$, then the frequency for the second note is

Velocity of sound is maximum in

A source of sound placed at the open end of a resonance column sends an acoustic wave of pressure amplitude ${\rho _0}$ inside the tube. If the atmospheric pressure is ${\rho _A}$, then the ratio of maximum and minimum pressure at the closed end of the tube will be

An open pipe resonates with a tuning fork of frequency $500{\rm{ }}Hz$. It is observed that two successive nodes are formed at distance 16 and 46 cm from the open end. The speed of sound in air in the pipe is

An open pipe and a closed pipe having same length. The ratio of ${p^{th}}$ overtones of two pipes is

If the length of a closed organ pipe is $1.5\,\,m$ and velocity of sound is $330\,\,m/s$, then the frequency for the second note is

Two open organ pipes 80 cm and 81 cm long found to give 26 beats in 10 sec when each is sounding its fundamental note, find the velocity of sound in air

Two closed pipes produce $10$ beats per second when emitting their fundamental nodes. If their lengths are in ratio of $25{\rm{ }}:{\rm{ }}26$. Then their fundamental frequency in $Hz$, are