Q25 of 36 Page 110

A steel wire has a length of 12 m and a mass of 2.10 kg. What will be the speed of a transverse wave on this wire when a tension of 2.06 × 104 N is applied?

Given:


Length of wire = 12 m


Mass of wire = 2.1 kg


Tension applied = 2.06 x 104 N


We know that the speed of a transverse wave on a wire is given by,



where T is the tension in the wire and μ is the mass per unit length. Now



and


Then speed,



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