A) \[\frac{\sqrt{3}}{4}\]
B) \[\frac{4}{\sqrt{3}}\]
C) \[\frac{1}{\sqrt{3}}\]
D) \[\sqrt{3}\]
Correct Answer: A
Solution :
When nothing specified, assume collision to be elastic In elastic collision Momentum conserved, K.E. conserved. Momentum conserved in x, y direction \[{{\operatorname{P}}_{{{x}_{1}}}}{{P}_{{{x}_{2}}}}\,and\,\,{{p}_{{{y}_{1}}}}={{p}_{{{y}_{2}}}}\] \[{{p}_{{{y}_{1}}}}={{p}_{{{y}_{2}}}}\] \[4\times 0+1\times 0=4{{v}_{1}}Sin3{{0}^{o}}-{{\operatorname{v}}_{2}}Sin6{{0}^{o}}\] \[{{\operatorname{v}}_{2}}\times \frac{\sqrt{3}}{2}=4{{\operatorname{v}}_{1}}\times \frac{1}{2}\] \[\frac{{{\operatorname{v}}_{1}}}{{{\operatorname{v}}_{2}}}=\frac{\sqrt{3}}{2}\]You need to login to perform this action.
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