Two identical balls of equal masses \( A \) and \( B \), are lying ...

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Two identical balls of equal masses \( A \) and \( B \), are lying on a smooth surface as shown in the figure.
\( \mathrm{P} \) Ball \( A \) hits the ball \( B \) (which is at rest) with a velocity \( v=16 \mathrm{~ms}^{-1} \). What should be the minimum W value of coefficient of restitution \( e \) between \( A \) and \( B \) so that \( B \) just reaches the highest point of inclined plane ? \( \left(g=10 \mathrm{~ms}^{-2}\right) \)
(1) \( \frac{2}{3} \)
(2) \( \frac{1}{4} \)
(3) \( \frac{1}{2} \)
(4) \( \frac{1}{3} \)
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