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
  • A$1\;:\;3\sqrt 2 $
  • B$1\;:\;2\sqrt 2 $
  • C$1\;:\;2$
  • D$\sqrt 2 \;:\;1$
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