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:
  • 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${Y}=\frac{{Y}_{1} {Y}_{2}}{2\left({Y}_{1}+{Y}_{2}\right)}$
JEE MAIN 2021, Medium
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