What type of stress will produce longitudinal strain, volumetric strain and shear strain?

Normal stress produces longitudinal and volumetric strains while shear strain is produced by tangential stress. 
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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?

Yes, wire is under stress due to its own weight. 
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How is compressibility related with Bulk modulus?

The reciprocal of bulk modulus is called the compressibilty.
It is denoted by k. 
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How does modulus of elasticity change with temperature?


The modulus of elasticity is inversely proportional to temperature.
That is it decreases with increase in temperature. 
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