A closed organ pipe of length $L$ and an open organ pipe contain gases of densities $\rho_{1}$ and $\rho_{2}$, respectively. The compressibility of gases are equal in both the pipes. Both the pipes are vibrating in their first overtone with same frequency. The length of the open organ pipe is,
Important Questions on Stationary Waves
The lengths of two organ pipes open at both ends are $L$ and $L+d$. If they are sounded together, the beat frequency will be,
The second overtone of an open organ pipe has the same frequency as the first overtone of a closed pipe $L$ metre long. The length of the open pipe will be,
The fundamental frequency in an open organ pipe is equal to the third harmonic of a closed organ pipe. If the length of the closed organ pipe is the length of the open organ pipe is
A pipe of length Closed at one end, has frequency equal to half the $2^{\text {nd }}$ overtone of another pipe open at both the ends. The length of the open pipe is
A source of sound is at one end of a hollow tube. An observer at another end hears two distinct notes after a time interval of $1$ $ \mathrm{s}$. If velocity of sound in air is $340$ $ \mathrm{m}$ $ \mathrm{s}^{-1}$ and in metal is $3740$ $ \mathrm{m}$ $ \mathrm{s}^{-1}$, then the length of pipe is,
The frequency of vibration of air column in a pipe closed at one end is $n_{1}$ and that of the one open at both ends is $\mathrm{n}_{2} .$ When both the pipes are joined to form a pipe closed at one end, the frequency of vibration of air column in it is (neglecting end correction)
In a pipe open at both ends, $n_{1}$ and $n_{2}$ are the frequencies corresponding to vibrating lengths $l_{1}$ and $l_{2}$, respectively. The end correction is,
A stretched string of $1$ $ \mathrm{m}$ length and mass of having tension of $20$ $ \mathrm{N}$ is plucked at $25$ $ \mathrm{cm}$ from one end. Then, it will vibrate with frequency,
