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

Options

A. `(M)/(m+M).v`
B. `(m)/(m+M).v`
C. `(m+M)/(m).v`
D. None of these

Answer

B

Explanation

The situation given in the question is an example of perfectly inelastic collision in which a bullet after sticking to a block behaves as a single body
`mv=(m+M)v^(')`
`v^(') = (m/(m+M))v`