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JEE Main202529 Jan 2025Morning ShiftPhysicsMotion in Two DimensionsActual

Two projectiles are fired with same initial speed from same point on ground at angles of ( (45^ - ) ) and ( (45^ + ) ), respectively, with the horizontal direction. The ratio of their maximum heights attained is :

Options

  1. A( 1- 1+ )
  2. B( 1- 2 1+ 2 )
  3. C( 1+ 2 1- 2 )
  4. D( 1+ 1- )

Correct answer

B. ( 1- 2 1+ 2 )

Step-by-step solution

aligned & H _ Max = ( u )^2 2 ~g & ( H _ )₁ ( H _ )₂ = u ^2 ^2(45- ) u ^2 ^2(45+ ) & = ( 1 2 - 1 2 )^2 ( 1 2 + 1 2 )^2 & = 1- 2 1+ 2 aligned

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