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JEE Main20236 Apr 2023Morning ShiftPhysicsMotion in Two DimensionsActual

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R . Assertion A : When a body is projected at an angle 45 ° , its range is maximum. Reason R : For maximum range, the value of sin 2 θ should be equal to one. In the light of the above statements, choose the correct answer from the options given below:

Options

  1. AA is false but R is true
  2. BA is true but R is false
  3. CBoth A and R are correct and R is the correct explanation of A
  4. DBoth A and R are correct but R is NOT the correct explanation of A

Correct answer

C. Both A and R are correct and R is the correct explanation of A

Step-by-step solution

Horizontal range of a projectile from a horizontal plane is given by, R = u 2 sin 2 θ g . Clearly for maximum range, sin 2 θ = 1 . Therefore, θ = 45 ° .

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