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Q.

In the figure, the angle of inclination of the inclined plane is 30o. 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=V0cos⁡30∘−gsin⁡30∘t⇒t=3V0/gIn a direction perpendicular to incline, −Hcos⁡30∘=−Vsin⁡30∘t−12gcos⁡30∘t2Putting the value of / and solving, we get V0=2gH5
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In the figure, the angle of inclination of the inclined plane is 30o. Find the horizontal velocity V0 so that the particle hits the inclined plane perpendicularly.