Transverse wave of same frequency are generated in two steel wires \( \mathrm{A} \) and \( \math...

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Transverse wave of same frequency are generated in two steel wires \( \mathrm{A} \) and \( \mathrm{B} \). The diameter of \( \mathrm{A} \) is twice of \( \mathrm{B} \) and the tension in \( \mathrm{A} \) is half that in \( \mathrm{B} \). The ratio of velocities of waves in \( A \) and \( B \) is -
(1) \( 1: \sqrt{2} \)
(2) \( 1: 2 \)
(3) \( 3: 2 \sqrt{2} \)
(4) \( 1: 2 \sqrt{2} \)
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