Question

Two wires of different materials have same length L and same diameter d. The second wire is connected at the end of the first wire and forms one single wire of double the length. This wire is subjected to stretching force F to produce the elongation l. The two wires have ______.

Options

• different stress but same strain

• different stress and different strain

• same stress but different strain

• same stress and same strain

Answer 1

same stress but different strain

Explanation:

Consider the figure shown below

As,' force on both wire is same and their areas are also same.

Hence, the stress on both wire will be same. The strain is given by

Strain = `"Stress"/"Y"`

where, Y is Young's modulus.
For different material the value of Young's modulus is different.
Hence, strain for both wires is different.