Question

The Young's modulus of a wire of length L and radius R is Y if the length is reduced to half what will be its young modulus

Answer 1

Young's modulus depends only upon the nature of the material

It has fixed value for a particular type of material

So, the Young's modulus will not charge

Answer 2

Young's modulus remains constant.

Young's modulus, Y = stress/strain

= (F/A)/(∆l/l)

= Fl/A∆l

here it seems that, Young's modulus of wire is directly proportional to length of wire. but remember Young's modulus is metallic property , it can't be change by changing just length of wire.

analytical method : if length is reduced to half. To maintain volume, cross sectional area of wire also changed and it becomes two times of initial value.

so, after that Young's modulus finally remains same.

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