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A body is projected from point A on an inclined plane having inclination θ with horizontal with velocity u in a direction perpendicular to the inclined plane as shown in figure. Then range of the projectile on inclined plane is

 

a
2u2gtanθ.secθ
b
u2gsin2θ.cosθ
c
2u2gsecθ
d
u2gsinθ

detailed solution

Correct option is A

Considering X axis along inclined plane and Y axis perpendicular to inclined plane.Ti=Time of flight on inclined  plane=2ugcosθ∴ Ri=12(gsinθ)Ti2=12(gsinθ)4u2g2cos2θRi=2u2gtanθ.secθ

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