A circular shaft of length L and diameter D is fixed in one end. The other end of the shaft is subjected to a twisting moment T. the angle of rotation of the free end with respect to the fixed end is $$\theta$$. What will be the angle of rotation of the free end if length is doubled and diameter is reduced to $$\frac{D}{2}$$?

A

$$2 \theta $$

B

$$16 \theta $$

C

$$32 \theta $$

D

$$\frac{\theta}{2}$$