A) \[\sqrt{2}\,m/s\]
B) \[(\sqrt{2}-1)\,m/s\]
C) \[\frac{1}{(\sqrt{2}-1)}m/s\]
D) \[\frac{1}{\sqrt{2}}m/s\]
Correct Answer: C
Solution :
Let m = mass of boy, M = mass of man v = velocity of boy, V = velocity of man \[\frac{1}{2}M{{V}^{2}}=\frac{1}{2}\left[ \frac{1}{2}m{{v}^{2}} \right]\] ?..(i) \[\frac{1}{2}M{{(V+1)}^{2}}=1\left[ \frac{1}{2}m{{v}^{2}} \right]\] ?..(ii) Putting \[m=\frac{M}{2}\] and solving \[V=\frac{1}{\sqrt{2}-1}\]
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