A) 5 m/s
B) 2.5 m/s
C) 10 m/s
D) 5\[\sqrt{2}\] m/s
Correct Answer: D
Solution :
According law of conservation of momentum \[{{p}^{2}}=p_{1}^{2}+p_{2}^{2}\] \[{{(4\times v)}^{2}}={{(2\times 10)}^{2}}+{{(2\times 10)}^{2}}\] \[\upsilon =\sqrt{\frac{800}{16}}=\sqrt{50}=5\sqrt{2}\] \[\therefore \] The velocity of body is, \[v=5\sqrt{2}\,m\text{/}s\]
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