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

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1 : 32

1 : 22

1 : 2

2 : 1

answer is B.

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Detailed Solution

v=Tm=Tπr2ρv∝Tr⇒vAvB=TATB.rBrA=12.12=122

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