Young's modulus of the material of a wire of length L and radius r is Y Nm^-2. If the length is reduced to  $\frac{L}{2}$ and radius to $\frac{r}{2},$ the Young's modulus will be

• A

  Y

• B

  2Y

• C

  $\frac{Y}{4}$

• D

  $\frac{Y}{2}$