In the figure shown, a ring \( A \) is initially rolling without sliding with a velocity \( v \)...

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In the figure shown, a ring \( A \) is initially rolling without sliding with a velocity \( v \) on the horizontal surface of the
\( \mathrm{P} \) body \( B \) (of same mass as \( A \) ). All surfaces are smooth. \( B \)
\( \mathrm{W} \) has no initial velocity. What will be the maximum height reached by \( A \) on \( B \) ?
(1) \( \frac{3 v^{2}}{4 g} \)
(2) \( \frac{v^{2}}{4 g} \)
(3) \( \frac{v^{2}}{2 g} \)
(4) \( \frac{v^{2}}{3 g} \)
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