A) The momentum of the system is less than \[\text{2}\,\text{kg}\,\text{m}{{\text{s}}^{-\text{1}}}\]9
B) The kinetic energy of the system is\[\frac{2}{3}J\]
C) The kinetic energy of the system is \[2J\]
D) None of these
Correct Answer: B
Solution :
Option cannot be true as momentum has to remain conserved. Common velocity,\[v=\frac{{{m}_{1}}{{u}_{1}}+{{m}_{2}}{{u}_{2}}}{{{m}_{1}}+{{m}_{2}}}=\frac{2}{3}\]kinetic energy of the system after collision \[=\frac{1}{2}({{m}_{1}}+{{m}_{2}}){{v}^{2}}\] \[=\frac{1}{2}(3)\times \frac{4}{9}=\frac{2}{3}\]
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