A) 1
B) \[\frac{\sqrt{3}}{2}\]
C) \[\frac{2}{\sqrt{3}}\]
D) None of these
Correct Answer: C
Solution :
The two bodies will collide, if they reach at a point covering same vertical distance in same time. Let the point of collision be D which is at a height from B, and time of collision be t, then \[\operatorname{h}={{v}_{1}}\,in\,\,60{}^\circ \,\times t-\frac{1}{2}\,g{{t}^{2}},\,\,h={{v}_{2}}t\,-\frac{1}{2}g{{t}^{2}}\] \[\Rightarrow \,\,\,\,\,\,\,\,{{v}_{1}}\frac{\sqrt{3}}{2}t-\frac{1}{2}g{{t}^{2}}={{v}^{2}}t-\frac{1}{2}g{{t}^{2}}\] \[\Rightarrow \,\,\,\,\,\,\,\,\frac{{{v}_{1}}\sqrt{3}}{2}\,\,=\,\,{{v}^{2}}\,\,\,\,\,\,\Rightarrow \,\,\,\,\,\frac{{{v}_{1}}}{{{v}_{2}}}=\frac{2}{\sqrt{3}}\]You need to login to perform this action.
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