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NEETPhysicsMotion in Two Dimensions

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): Two stones of masses 1 kg and 5 kg , thrown with the same initial velocity at the same angle to the horizontal, will reach the same maximum height. Reason (R): The maximum height of a projectile is independent of its mass and depends only on the vertical component of its initial velocity and the ac

Options

  1. ABoth Assertion (A) and Reason (R) are correct but Reason (R) is not the correct explanation of Assertion (A)
  2. BBoth Assertion (A) and Reason (R) are correct and Reason (R) is the correct explanation of Assertion (A)
  3. CAssertion (A) is correct but Reason (R) is incorrect
  4. DAssertion (A) is incorrect but Reason (R) is correct

Correct answer

B. Both Assertion (A) and Reason (R) are correct and Reason (R) is the correct explanation of Assertion (A)

Step-by-step solution

The maximum height attained by a projectile is given by the formula H = u^2 ^2 2g , where u is the vertical component of the initial velocity. This formula does not contain any term for the mass of the projectile. Therefore, in the absence of air resistance, the maximum height is entirely independent of the mass of the body. Since both stones are projected with the same initial velocity and at the same angle, they have the same vertical component of initial velocity. Thus, they will reach the exact same maximum hei

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