Question
Transverse waves of the same frequency are generated in two steel wires A and B. The diameter of A is twice that of B and the tension in A is half that in B. The ratio of the velocities of waves in A and B is

1 : 2



easy
Solution
The velocity of transverse waves is given by where T = tension and m = mass per unit length of the wire. If r is the radius of the wire and ρ its density, then m = Therefore
Hence
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