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NTA Abhyas JEE Main2020PhysicsMotion in Two DimensionsPractice

An inclined plane is located at angle α = 53 ° to the horizontal. There is a hole at point B in the inclined plane as shown in the figure. A particle is projected along the plane with speed v 0 at an angle β = 37 ° to the horizontal in such a way so that it gets into the hole. Neglect any type of friction. Find the speed v 0 (in m s - 1 ) if h = 1 m and l = 8 m .

Options

  1. A9
  2. B3
  3. C6
  4. D12

Correct answer

A. 9

Step-by-step solution

h = l tan ⁡ β - 1 2 g sin ⁡ α l 2 v 0 2 cos 2 ⁡ β v 0 = g sin ⁡ α l 2 2 cos 2 ⁡ β l tan ⁡ β - h = 10 × 4 5 × 8 × 8 2 × 4 5 × 4 5 8 × 3 4 - 1 = 9   m   s - 1

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