Three particles are projected in the air with the minimum possible speeds, such that the first goes from A to B, the second goes from B to C and the third goes from C to A. Points A and C are at the same horizontal level. The two inclines make the same angle `alpha` with the horizontal, as shown. The relation among the projection speeds of the three particles is

Options

A. `u_(3)=u_(1)+u_(2)`
B. `u(2)/(3)=2u_(1)u_(2)`
C. `1/u_(3)=1/u_(1)+1/u_(2)`
D. `u(2)/(3)=u(2)/(1)+u(2)/(2)`

Answer

B