A piano wire A vibrates at a fundamental frequency of 600 Hz. A second identical wire B produces 6 beats per second with it when the tension in A is slightly increased. Find the ratio of the tension in A to the tension in B.
Mass per unit length of both the wires = m
Fundamental frequency of wire of length 
and tension 
is given by:
It is clear from the above relation that as the tension increases, the frequency increases.
Fundamental frequency of wire A is given by:
Fundamental frequency of wire B is given by:
It is given that 6 beats are produced when the tension in A is increased.
Therefore, the ratio can be obtained as:
1