A copper wire of length l has Young's modulus Y. If the wire is cut into two equal halves of each length l/2, what will be Young's modulus of each half?
The young's modulus of the wire will remain the same, that is Y because it is independent of the dimensions of material.
Young's modulus is dependent on the nature of the material.
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Do you think that a metal wire suspended freely from one end is under any stress?