A copper and a steel wire of the same diameter are connected end to end. A deforming force \(F\) is applied to this composite wire which causes a total elongation of \(1\) cm. The two wires will have:
(a)
the same stress
(b)
different stress
(c)
the same strain
(d)
different strain
Choose the correct option:
1.
(a), (b)
2.
(a), (d)
3.
(b), (c)
4.
(c), (d)
(2) Hint: The tension or compression in the wires will be the same.
Step 1: Find the stress in both the wires.
Consider the diagram where a deforming force F is applied to the combination.
For steel wire,
For copper wire,
where F is tension in each wire and A is the cross-section area of each wire.
As F and A are the same for both the wires, hence, stress will be the same for both the wires.