Two wires of same length and radius are joined end to end and loaded. The Young's modulii of the materials of the two wires are $Y_{1}$ and $Y_{2}$. The combination behaves as a single wire then its Young's modulus is:

  • [JEE MAIN 2021]
  • A

    $y=\frac{Y_{1} Y_{2}}{Y_{1}+Y_{2}}$

  • B

    $y=\frac{2 Y_{1} Y_{2}}{3\left(Y_{1}+Y_{2}\right)}$

  • C

    $Y=\frac{2 Y_{1} Y_{2}}{Y_{1}+Y_{2}}$

  • D

    ${Y}=\frac{{Y}_{1} {Y}_{2}}{2\left({Y}_{1}+{Y}_{2}\right)}$

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