(a) | the same stress | (b) | different stress |
(c) | the same strain | (d) | different strain |
1. | (a), (b) | 2. | (a), (d) |
3. | (b), (c) | 4. | (c), (d) |
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, Ysteel=StressStrain=FAstrainsteel
For copper wire, Ycopper=StressStrain=FAstraincopper
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,
Therefore, stress will be the same for both the wires.
Step 2: Find the strain in the two wires.
The strain in the wire is given by;
Strain = StressY
⇒Strainsteel=StressYsteel
⇒Straincopper=StressYcopper
As Ysteel≠Ycopper
Therefore, the two wires will have different strains.
Hence, option (2) is the correct answer.
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