The Young's modulus of a wire of length L and radius r is Y. If the length is reduced to L/2 and the radius to r/2, its Young modulus will be
a. Y/2
b. 2Y
c. Y
d. 4Y

Question

anonymous · Answer

The equation for Young's Modulus is tensile stress/tensile strain.

Stress = $$F/A _{0}$$
Strain = $$DeltaL/L _{0}$$
Area = $$\pi r ^{2}$$
If you put these equations together and plug in the before and after conditions you will find your answer :)

anonymous · Answer

Seems like Y. Is it?