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Two wires of same length and radius are joined end to end and loaded. The Youngs modulii of the materials of the two wires are \( Y_{1} \) and \( Y_{2} \). If the combination behaves as a single wire then its Youngs modulus is
(a) \( \frac{Y_{1} Y_{2}}{Y_{1}+Y_{2}} \)
(b) \( \frac{Y_{1}+Y_{2}}{2} \)
(c) \( \frac{2 Y_{1} Y_{2}}{Y_{1}+Y_{2}} \)
(d) \( \frac{Y_{1}+Y_{2}}{Y_{1} Y_{2}} \)
\( \mathrm{P} \)
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