When a mass of 5 kg hangs from a vertical wire of length 2 m, waves travel on this wire with a speed of 10 m/s. what will the speed of these waves be if the wire is replaced with one with the same length but three times as heavy

New speed of the wave, v = 5.77 m/s                                                                                                                                    

Explanation:

It is given that,

Mass of the object, m = 5 kg

Length of the wire, L = 2 m

Speed of the wave, v = 10 m/s

The speed of wave in terms of tension is given by :

If the wire is replaced with one with the same length but three times as heavy, the mass per unit length is given by :

New speed of the wave is given by :

v' = 5.77 m/s

So, the speed of the new wave is 5.77 m/s. Hence, this is the required solution.