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Two wires of the same length l and radiu...

Two wires of the same length `l` and radius are joined end to end and loaded. If the Young's moduli of the materials of the wires are `Y_(1)` and `Y_(2)`, the combination behaves as a single wire of Young's modulus will be

A

`Y=(2Y_(1)Y_(2))/(3(Y_(1)+Y_(2)))`

B

`Y=(2Y_(1)Y_(2))/(Y_(1)+Y_(2))`

C

`Y=(Y_(1)Y_(2))/(2(Y_(1)+Y_(2)))`

D

`Y=(Y_(1)Y_(2))/(Y_(1)+Y_(2))`

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