Two perfectly elastic particles A and B of equal mass travellinng along the line joining them with velocities `15ms^(-)` and `10ms^(-)`. After collision, their velocities will be

Options

A. `10 ms^(1-), 10ms^(1-)`
B. `15 ms^(-1), 15 ms^(-1)`
C. `10ms^(-1) , 15 ms^(-1)`
D. `15 ms^(-1), 10 ms^(-1)`

Answer

C

Explanation

`v_(2) = (m_(2)-m_(1))/(m_(1)+m_(2))u_(2) + (2m_(1)u_(1))/(m_(1)+m_(2)`
`v=(2Mu)/(M+m)`
`v=(2u)/(1+m/m)`