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Q.

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

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a

2u2gtanθ.secθ

b

u2gsin2θ.cosθ

c

2u2gsecθ

d

u2gsinθ

answer is A.

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Detailed Solution

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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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