Two narrow cylindrical pipes `A` and `B` have the same length. Pipe `A` is open at both ends and is filled with a monoatomic gas of molar mass `M_(A)`. Pipe `B` is open at one end and closed at the other end and is filled with a diatomic gas of molar mass `M_(B)`. Both gases are at the same temperature.
(a) If the frequency of the second harmonic of the fundamental mode in pipe `A` is equal to the frequency of the third harmonic of the fundamental mode in pipe `B`, determine the value of `(m_(A))/(M_(B))`.
(b) Now, the open end of pipe `B` is also closed (so that the pipe is closed at both ends.) Find the ratio of the fundamental frequency in pipe `A` to that in pipe `B`.

Answer

12