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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; Similar WB-JEE 2013]
(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) \( \frac{1}{2} M v^{2} \times \frac{m}{(m+M)} \)
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