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NEET
Exam
NEET
Subject
Physics
Chapter
Motion in One Dimension

NEET · Physics · Motion in One Dimension

Assertion The average velocity of a particle having initial and...

Assertion The average velocity of a particle having initial and final velocity (\mathrm{v}}_{1}) and (\mathrm{v}}_{2}) is (\mathrm{v}}_{1}+ \mathrm{v}}_{2} / 2). Reason If (\mathrm{r}}_{1}) and (\mathrm{r}}_{2}) be the initial and final displacement in time tt, then (vav=r1−r2t\mathrm{v}_{\mathrm{av}}=\frac{\mathrm{r}_1-\mathrm{r}_2}{t}).

Options

  1. AIf both Assertion and Reason are correct and Reason is the correct explanation of Assertion
  2. BIf both Assertion and Reason are correct 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

D. If Assertion is false but Reason is true

Step-by-step solution

Assertion: The average velocity of a particle is equal to its instantaneous velocity when the particle is moving with uniform velocity. (Correct. If velocity is uniform, it means constant in both magnitude and direction. In this case, the instantaneous velocity at any point is the same as the average velocity over any interval.) Reason: The velocity of a particle remains constant during uniform motion. (Correct definition of uniform motion in terms of velocity). The reason correctly states a property of uniform motion but doesn't explain why average velocity equals instantaneous velocity in this specific scenario. It's more of a restatement of the condition.
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