Question

The breaking stress of a wire depends upon
A). Material of wire
B). Length of wire
C). Radius of wire
D). Shape of cross- section

Answer 1

Hint- To answer this question we will firstly get to know what is breaking stress of a wire and on what factors does it depend. Breaking stress is the maximum stress that the body can withstand before it finally breaks. It is defined as the ratio of braking force per unit area. It is independent of the physical dimensions of the body like length of the body and area of the body but it depends on the nature of the material.

Formula used: $\dfrac{{{\text{Force}}}}{{{\text{Area}}}}$

Complete step-by-step solution -
The formula for breaking stress is given as
Breaking Stress = $\dfrac{{{\text{Force}}}}{{{\text{Area}}}}$
Breaking stress checks for metals determine how long a single alloy is stretched until it reaches its maximum tensile strength and how much metal can be loaded until structural stability is lost. Therefore, it is a very important concept in material science and for safety considerations.
Breaking stress is also known as the ultimate tensile stress or breaking strength.
Hence the correct option is “A”.

Additional information- Tensile stress is the stress state induced by the load being applied that appears to elongate the material in the load-axis, that is, the force generated by the material being tensioned. The power of equivalent cross-sectional structures charged with voltage is independent of the nature of the cross-section.

Note- Breaking stress is a limit state of tensile stress that leads to tensile failure in one of two manners: Ductile failure - Some yield as the first stage of failure, some hardening in the second stage and breakage after a possible "neck" formation. Brittle failure - It is defined as the abrupt breaking of the material into two or more pieces at a low stress state.