Two inclined planes \( O A \) and \( O B \) having inclination (with horizontal) \( 30^{\circ} \...

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Two inclined planes \( O A \) and \( O B \) having inclination (with horizontal) \( 30^{\circ} \) and \( 60^{\circ} \), respectively, intersect each other at \( O \) as shown in figure. A particle is projected from point \( P \) with velocity \( u=10 \sqrt{3} \mathrm{~m} \mathrm{~s}^{-1} \) along a direction perpendicular to plane \( O A \). If the
P particle strikes plane \( O B \) perpendicularly at \( Q \), calculate
The distance \( P Q \),
(1) \( 20 \mathrm{~m} \)
(2) \( 10 \mathrm{~m} \)
(3) \( 5 \mathrm{~m} \)
(4) \( 2.5 \mathrm{~m} \)
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