A rigid bar of mass $15\,kg$ is supported symmetrically by three wire each of $2 \,m$ long. These at each end are of copper and middle one is of steel. Young's modulus of elasticity for copper and steel are $110 \times 10^9 \,N / m ^2$ and $190 \times 10^9 \,N / m ^2$ respectively. If each wire is to have same tension, ratio of their diameters will be ............

  • A

    $\sqrt{\frac{11}{19}}$

  • B

    $\sqrt{\frac{30}{11}}$

  • C

    $\sqrt{\frac{19}{11}}$

  • D

    $\sqrt{\frac{11}{30}}$

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