A bullet of mass m moving with velocity v strikes a block of mass M at rest and gets embedded into it. The kinetic energy of the composite block will be [MP PET 2002]

• A.             \[\frac{1}{2}m{{v}^{2}}\times \frac{m}{(m+M)}\]         
• B.             \[\frac{1}{2}m{{v}^{2}}\times \frac{M}{(m+M)}\]
• C.                         \[\frac{1}{2}m{{v}^{2}}\times \frac{(M+m)}{M}\]          
• D.                           \[\frac{1}{2}M{{v}^{2}}\times \frac{m}{(m+M)}\]