Two particles of masses M and 2M, moving as shown, with speeds of 10 m/s and 5 m/s, collide elastically at the origin. After the collision, they move along the indicated diretions with speeds `v_(1)` and `v_(2)` respectively. The value of `v_(1)` and `v_(2)` are nearly:

Options

A. `6.5ms^(-1)` and `3.2ms^(-1)`
B. `3.2ms^(-1)` and `12.6ms^(-1)`
C. `13.02ms^(-1)` and `19.7ms^(-1)`
D. `3.2ms^(-1) and 6.3ms^(1)`

Answer

C