Two inclined planes \( \mathrm{OA} \) and \( \mathrm{OB} \) having inclinations \( 30^{\circ} \)...

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Two inclined planes \( \mathrm{OA} \) and \( \mathrm{OB} \) having inclinations \( 30^{\circ} \) and \( 60^{\circ} \) with the horizontal respectively intersect each other at \( \mathrm{O} \), as shown in figure. A particle is projected from point \( \mathrm{P} \) with velocity \( \mathrm{u}=10_{3} \mathrm{~m}_{\mathrm{S}} \) along a direction perpendicular to plane \( \mathrm{OA} \). If the particle strikes plane \( \mathrm{OB} \) perpendicular at \( \mathrm{Q}\left(\right. \) Take \( \left.\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right) \). Then
img src=https://penpencil-static-content.s3.ap-south-1.amazonaws.com/5eb393ee95fab7468a79d189/7g9t47iabdldiemxpuqstpsfv.png /
The time of flight from \( P \) to \( Q \) is :-
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