A bullet of mass a nbsp; and velocity b

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A bullet of mass $ a$  and velocity $b$ is fired into a large block of mass $c$. The final velocity of the system is

A

$\frac{c}{{a + b}} \cdot b$

B

$\frac{a}{{a + c}} \cdot b$

C

$\frac{{a + b}}{c}.a$

D

$\frac{{a + c}}{a} \cdot b$

A bullet of mass $ a$  and velocity $b$ is fired into a large block of mass $c$. The final velocity of the system is

Initially bullet moves with velocity b and after collision bullet get embedded in block and both move together with common velocity.
By the conservation of momentum
$==> a × b + 0 = (a + c) V$ ==> $V = \frac{{ab}}{{a + c}}$