NEET 2024 — Physics solution

NEET2024Physics

Two bodies $A$ and $B$ of same mass undergo completely inelastic one dimensional collision. The body $A$ moves with velocity $v_{1}$ while body $B$ is at rest before collision. The velocity of the system after collision is $v_{2}$ . The ratio $v_{1} : v_{2}$ is

A
4 : 1
B
1 : 4
C
1 : 2
D
2 : 1

Solution

By momentum conservation: $m v_{1} + 0 = (2 m) v_{2}$ , giving $v_{2} = v_{1} /2$ .

$∴ v_{1} : v_{2} = 2 : 1$ .

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