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Assertion:- Materials can be streched ev...

Assertion:- Materials can be streched even beyond proportionality limit. (point till which Hooke's law is valid is called proportionality limit)
Reason:- Elastic forces can be conservative even beyond proportional limit.

A

If both Assertion `&` Reason are True `&` the Reason is a correct explanation of the Assertion.

B

If both Assertion `&` Reason are True but Reason is not a correct explanation of the Assertion.

C

If Assertion is True but the Reason is False.

D

If both Assertion `&` Reason are False.

Text Solution

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The correct Answer is:
B
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The stress strain graph for a metal wire is shown in the fig. Upto the point E, the wire returns to its original state O along the curve EPO, when it is gradually unloaded. Point B corresponds to the fracture of the wire. (a) Upto what point on the curve is Hooke's law obeyed? (this point some times called proportional limits). (b) Which point on the curve corresponding to elastic limet or yield point of the wire? (c ) Indicate teh elastice and plastic regions of the stree-strain graph. (d) Describe what happens when the wire is loaded upto a stress corresponding to the point A on the graph and then unloaded gradulally. In particular explain the dotted curve. (e) Wht is peculiar about the protion of the stree- strain graph from C to B? Upto what stress can the wire be subjected with out causing fracture?

Figure shows the relationship between tensile stress and strain for a typical material. Below proportional point A, stress is directly proportional to strain which means Young's moudulus (Y) is a constant. In this region the material obeys Hooke's law. Provided the strain is below the yield point 'B' the material returns to its original shape and size when the force is removed. Beyond the yield point, the material retains a permancnt deformation after the stress is removed. For stresses beyond the yeld point, the material exhibit plastic flow, which means that it continues to elongate for little increases in the stress. Beyond C a local constriction occurs. The material fractures at D (i.e. breaking point). The graph below shows the stress-strain curve for 4 different materials. If you bough a new shoe which bites in the beginning and later on fits perfectly, then the material used to making the shoe is

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