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JEE Main202226 Jul 2022Evening ShiftPhysicsMotion in Two DimensionsActual

Two projectiles are thrown with same initial velocity making an angle of 45 ° and 30 ° with the horizontal respectively. The ratio of their respective ranges will be

Options

  1. A1 : 2
  2. B2 : 1
  3. C2 : 3
  4. D3 : 2

Correct answer

C. 2 : 3

Step-by-step solution

Let projection speed is u , The formula for the range of the projectile is given by, R = u 2 sin 2 θ g . Therefore, R 1 = u 2 sin 90 ° g ;   R 2 = u 2 sin 60 ° g R 1 R 2 = sin 90 ° sin 60 ° = 2 3

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