Physics · System Of Particles

NEET (UG) 2024 — Question 6

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

Option A:
$1: 2$
Option B:
$2: 1$
Correct
Option C:
$4: 1$
Option D:
$1: 4$

Answer: B

Step-by-step solution

Before collision $A$ moves with $v_1$ and $B$ is at rest. After a completely inelastic collision both move together with $v_2$ .

m v_1 = m v_2 + m v_2

m v_1 = 2m v_2 \quad\Rightarrow\quad \frac{v_1}{v_2}=\frac{2}{1}

Answer key and solution verified before publishing.

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Exam: NEET (UG) 2024
Paper: 2024 paper
Subject: Physics
Chapter: System Of Particles
Topic: Collisions in One Dimension