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COMEDK202510 May 2025Evening ShiftPhysicsMotion in Two DimensionsActual

A gun is used to fire a bullet at an angle of 30^ and at 60^ respectively. The ratios of heights and Ranges reached by the bullet are

Options

  1. A1: 3,1: 1
  2. B1: 1,1: 1
  3. C1: 1,3: 1
  4. D3: 1,1: 1

Correct answer

A. 1: 3,1: 1

Step-by-step solution

Maximum height: H = u^2 ^2 2g H₁ = u^2 ^2 30° 2g = u^2 8g , H₂ = u^2 ^2 60° 2g = 3u^2 8g H₁ : H₂ = 1 : 3 Range: R = u^2 2 g R₁ = u^2 60° g , R₂ = u^2 120° g Since 60° = 120° , R₁ = R₂ R₁ : R₂ = 1 : 1 Ratio of heights : ranges = 1:3, 1:1

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