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Chapter 8: Problem 1

The breaking stress of a wire depends on (A) Material of the wire (B) Length of the wire (C) Radius of the wire (D) Length of the wire

Short Answer

Expert verified
Breaking stress of a wire depends on the material of the wire and radius of the wire

Step by step solution

01

Analyze the relevance of the material of the wire

Material of the wire is important because different materials have different amounts of breaking stress. For example, steel wire can withstand greater stress compared to a copper wire. This is due to the fact that different material properties such as modulus of elasticity, ductility, malleability, etc. vary. Therefore, the material of the wire is a crucial factor on which breaking stress depends.
02

Analyze the relevance of the length

In principle, the length of a wire has no effect on its breaking stress. Stress is a measure of the internal forces in a material that resist fracture; the units of stress are in force per unit area (like pounds per square inch, or Newtons per square meter), which makes it an intrinsic property of the material. This means the length of the wire does not directly affect the breaking stress.
03

Analyze the relevance of radius

If the radius (or diameter) of the wire is increased, the tensile strength remains same, but the load that it can bear before breakage is increased. Here, we need to be clear that the breaking 'stress' and breaking 'force' are two different entities. Stress is the force involved in the breaking per unit cross-sectional area. So, Change in radius changes the cross-sectional area and hence, a wire's breaking force, not its breaking stress.
04

Conclusion

Out of the options given in this exercise, the breaking stress of a wire depends on the 'Material of the wire' and the 'Radius of the wire'. The length of the wire is not a factor that breaking stress depends on.

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