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(D) Stress is defined as $\sigma = \frac{F}{A}$. Since the wires are in series,the same force $F$ is transmitted through both wires. Given that the di

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Same stress and different strain

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(D) Stress is defined as $\sigma = \frac{F}{A}$. Since the wires are in series,the same force $F$ is transmitted through both wires. Given that the diameter is the same,the cross-sectional area $A$ is also the same for both. Therefore,the stress is the same in both wires.Strain is defined as $\epsilon = \frac{\Delta L}{L}$. The Young's modulus $Y$ is given by $Y = \frac{	ext{Stress}}{	ext{Strain}}$,which implies $	ext{Strain} = \frac{\sigma}{Y}$.Since the stress $\sigma$ is the same for both wires but the Young's modulus $Y$ for copper and steel are different,the strain produced in each wire will be different.

In a series combination of copper and steel wires of same length and same diameter,a force is applied at one of their ends while the other end is kept fixed. The combined length is increased by $2 \ cm$. The wires will have ..........

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