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