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NEETPhysicsMotion in Two Dimensions

Assertion : For projection angle ( ⁻¹(4) ), the horizontal and maximum height of a projectile are equal. Reason : The maximum range of projectile is directly proportional to square of velocity and inversely proportional to acceleration due to gravity.

Options

  1. AIf both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
  2. BIf both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
  3. CIf Assertion is true but Reason is false.
  4. DIf Assertion is false but Reason is true.

Correct answer

B. If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.

Step-by-step solution

- Assertion: The assertion states that for a projection angle of ( ⁻¹(4) ), the horizontal range ( (R )) and the maximum height ( (H )) are equal. This statement is true. The formulas for range and maximum height are: (R= u^2 (2 ) g and H= u^2 ^2 2 g ) For (R=H ), we set the equations equal to each other: ( aligned & u^2 (2 ) g = u^2 ^2 2 g & 2 = ^2 2 & 4 = & =4 & =4 & = ⁻¹(4) aligned ) This confirms the assertion is correct. - Reason: The reason states that the maximum range of a projectile is directly proportiona

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