A Copper wire and steel of the same diameter and length are connected end to end and a force is applied, which stretches their combined length by 1 cm. The two wires will have

Options

A. the same stress and strain
B.  the same stress but different strain
C.  the same strain but different stress
D. different strains and stress

Answer

B

Explanation

Stress `=(Y)/(A)`
As each wire is of same diameter, hence the area of cross-sections is same for both the wires. As both the wires have the same force (F) and same area of cross-section (A), therefore, stress is same for both the wire.
As Young's modulus, `Y =("Stress")/("Strain") ` or `"Strain "=("Stress")/("Y")`
As Y id different for both the wire , therefore strain is different for the both the wires.