$A$ particle of mass $m$ moving with velocity $v$ makes a perfectly elastic collision with a simple pendulum bob of mass $m$. After the collision,the maximum height attained by the bob is:
- A$\frac{{{v^2}}}{g}$
- B$\frac{{{v^2}}}{{2g}}$
- C$\frac{{{v^2}}}{{4g}}$
- D$\frac{{{v^2}}}{{8g}}$
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