Maximum deflection in a beam of span l supported freely at both ends due to central load P at middle with Young’s modulus E and moment of inertia I is

A

$$\frac{Pl^3}{64} EI$$

B

$$\frac{Pl^3}{32} EI$$

C

$$\frac{Pl^3}{48} EI$$

D

$$\frac{Pl^3}{96} EI$$