A propped cantilever beam of span L when loaded with a uniformly distributed load of intensity p will have a bending moment M at the fixed end, where M is:

Correct option is D

For a propped cantilever beam of span L subjected to a uniformly distributed load
w (or p) over the entire length:
The structure is statically indeterminate to degree 1.
Using compatibility (zero deflection at the prop) and superposition, the bending moment at the fixed end is obtained as:
​$$M_{\text{fixed}} = \frac{wL^{2}}{8}$$​​