A body of mass `m_(1)` moving with a velocity `3 m//s` collides with another body at rest of `m_(2)` . After collision the velocities of the two bodies are `2 m//s` and `5 m//s` , respectively , along the direction of motion of `m_(1)`. The ratio `m_(1)//m_(2)` is

Options

A. `5/12`
B. 5
C. `1//5`
D. `12//5`

Answer

B

Explanation

`v_1=((m_1-m_2)/(m_1+m_2))u_1implies 2 [(m_1/m_2-1)/(m_1/m_2+1)]xx3`
`implies (2m_1)/m_2 +2-3 (m_1)/m_2 =-3`
`implies m_1/m_2 =5`