a wire is cut half to its original length.. (a) how would it affect the increase in length under a given load ?

(b) how does it affect the maximum load it can support without exceeding the elastic limit ?

(a) Using the relation,
L=FLAYNow, L'=L/2Then, L'=F (L/2)AY=12LHence when the original length of the wire becomes L/2, elongation L will also get halved.(b) We have a relation,F=YALLSince LL remains constant  even on cutting the wire to half it's original length. [Y and A remains the same for any length of the wire].Thus, there will be no change in the volume of the maximum load F.

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