Two particles start together from a point \( O \) and slide down along straight smooth inclined ...

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Two particles start together from a point \( O \) and slide down along straight smooth inclined planes at \( 30^{\circ} \) and \( 60^{\circ} \) to the vertical and in the same vertical plane as in figure. The relative acceleration of second with respect to first will be (in magnitude and direction) as
(a) \( \frac{g}{2} \) in the vertical direction
(b) \( \frac{g \sqrt{3}}{2} \) at \( 45^{\circ} \) with vertical
(c) \( \frac{g}{\sqrt{3}} \) inclined at \( 60^{\circ} \) to vertical
(d) \( g \) in the vertical direction
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