If the speed of sound in air is $330 \, m/s$,find the number of tones (harmonics) present in an open organ pipe of length $1 \, m$ whose frequency is $\leq 1000 \, Hz$.

Obtain the equation for the frequency of a stationary wave produced in an open pipe and show that all harmonics are possible in it.

In a pipe closed at one end,an air column is vibrating in its second overtone. The column has

The frequency of the third overtone of a pipe of length $L_c$,closed at one end,is the same as the frequency of the sixth overtone of a pipe of length $L_o$,open at both ends. Then the ratio $L_c : L_o$ is

Tube $A$ has both ends open while tube $B$ has one end closed,otherwise they are identical. The ratio of the fundamental frequency of tube $A$ to tube $B$ is

An organ pipe $P_1$,closed at one end,is vibrating in its first harmonic. Another pipe $P_2$,open at both ends,is vibrating in its third harmonic. Both are in resonance with a given tuning fork. The ratio of the lengths of $P_1$ and $P_2$ is: