Two inclined planes OA and OB having inclinations \( 30^{\circ} \) and \( 60^{\circ} \) with the...

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Two inclined planes OA and 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 \( P \) with velocity \( \mathrm{u}=10 \sqrt{3} \frac{\mathrm{m}}{\mathrm{s}} \) along a direction perpendicular to plane \( \mathrm{OA} \). If the particle strikes plane \( O B \) perpendicular at \( Q \) (Take \( \mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2} \) ). Then
img src=https://penpencil-static-content.s3.ap-south-1.amazonaws.com/5eb393ee95fab7468a79d189/yar49ll3nw86q43qpzdud2hwq.png /
The speed with which the particle strikes the plane \( O B \) is 
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