Question

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 

(1) 1 : 2 

(2) 2 : 1 

(3) 4 : 1 

(4) 1 : 4

Answer 1

Correct option is : (2) 2 : 1 

By Conservation of linear momentum :-

\(\Rightarrow mv_1 = (m + m)v_2\)

\( \Rightarrow mv_1 = 2mv_2\)

\( \Rightarrow \frac{v_1}{v_2} = 2 :1\)