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Question

In case of steel wire or a metal wire, the elastic limit is reached when :

A
The wire just break
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B
The load is more than the weight of wire
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C
Elongation is inversely proportional to the tension
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D
None of the above
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Solution

The correct option is C Elongation is inversely proportional to the tension
According to Hooke's law, the stress produced in a body is proportional to the strain. But this proportionality exists for small strains only. When a load is applied to a damped wire, the length of wire goes on increasing part OA of the graph is straight line, indicating that upto point A increase in length is directly proportional to load. After point A on further increasing the load, the increase in length is no longer proportional to load, however till point B, the elastic property exists in the wire. The stress at point B is called elastic limit. Beyond B is the wire does not return to its original position, but its length is permanently increased.

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