The flexural rigidity (EI) of a cantilever beam is assumed to be constant over the length of the beam shown in figure. If a load P and moment PL/2 are applied at the free end of the beam then the value of the slope at the free end is

• A. \(\frac{1}{2}\frac{{P{L^2}}}{{EI}}\)
• B. \(\frac{{P{L^2}}}{{EI}}\)
• C. \(\frac{3}{2}\frac{{P{L^2}}}{{EI}}\)
• D. \(\frac{5}{2}\frac{{P{L^2}}}{{EI}}\)