Question

# Two balls are projected from points $$A$$ and $$B$$ in vertical plane as shown in Fig.  AB is straight vertical line. The balls can collide in mid air if $$v_1/ v_2$$ is equal to:

A
sinθ1sinθ2
B
sinθ2sinθ1
C
cosθ1cosθ2
D
cosθ2cosθ1

Solution

## The correct option is D $$\dfrac { \cos { { \theta }_{ 2 } } }{ \cos { { \theta }_{ 1 } } }$$If the particle collide in mid-air, they travel same displacement in horizontal direction. So their velocity components along horizontal will be same.So,$$v_1\,cos\theta_1=v_2\,cos\theta_2$$$$\implies \dfrac{v_1}{v_2}=\dfrac{cos\theta_2}{cos\theta_1}$$Physics

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