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NTA Abhyas JEE Main2020PhysicsMotion in Two DimensionsPractice

An artillery piece which consistently shoots its shells with the same muzzle speed has a maximum range R . To hit a target which is R 2 from the gun and on the same level, the angle of elevation of the gun should be

Options

  1. A15 °
  2. B45 °
  3. C30 °
  4. D60 °

Correct answer

A. 15 °

Step-by-step solution

R max = R = u 2 g (at an angle of 45 ° u 2 = Rg Using Range = u 2 sin 2 θ g then R 2 = Rg sin 2 θ g sin 2 θ = 1 2 2 θ = 3 0 o ⇒ θ = 1 5 o

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