If length of the wire is doubled, then it can hold ___________.(Cross-sectional area remains same)

  1. the same maximum stress as before
  2. the double maximum stress as before
  3. the half maximum stress as before
  4. the quarter maximum stress as before

Answer (Detailed Solution Below)

Option 1 : the same maximum stress as before
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Detailed Solution

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CONCEPT:

  • Breaking Stress: It is also called ultimate tensile stress. It is the maximum stress a material can stand before it breaks.
  • Tensile stress:  The force applied along a rod divided by the cross-sectional area of the rod perpendicular to the applied force is called tensile stress.

\(\rm Tensile~stress = {Force \over Cross ~section ~area}\)

EXPLANATION:

  • From the definition, it is clear that the breaking stress of a rod is given by:

Stress = F/A

  • If we change the area, there may be a change in the load to break a rod.
  • Since there is no role of length in calculating the breaking stress, so change in length will not change the breaking stress.
  • So if the length of the wire is changed, it will still hold the same load as the initial value.
  • Hence the correct answer is option 1.
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