In figure, the angle of inclination of the inclined plane is 30°. Find the horizontal velocity V0 so that the particle hits the inclined plane perpendicularly.
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a
V0=2gH5
b
V0=2gH7
c
V0=gH5
d
V0=gH7
answer is A.
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Detailed Solution
In a direction along the inclined plane,0=V0cos30∘−gsin30∘t⇒t=3V0/gIn a direction perpendicular to incline,−Hcos30∘=−Vsin30∘t−12gcos30∘t2Putting the value of t and solving, we get V0=2gH5.