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Physics · LAWS OF MOTION

हिन्दी

Given below are two statements: Statement I: The second law of motion is a local relation, meaning that the force \( \mathbf{F} \) at a point in space at a certain instant of time is related to the acceleration \( \mathbf{a} \) at that same point at that same instant. Statement II: The acceleration of a particle at any given instant depends significantly on the previous motion or history of the particle prior to that instant. In the light of the above statements, choose the most appropriate answer from the options given below:

  1. Both Statement I and Statement II are correct.
  2. Both Statement I and Statement II are incorrect.
  3. Statement I is correct but Statement II is incorrect.
  4. Statement I is incorrect but Statement II is correct.

Correct answer · Option 3

Statement I is correct but Statement II is incorrect.

Explanation

Statement I is correct (second law is local in space and time). Statement II is incorrect because acceleration here and now is determined strictly by force here and now, with no memory of past motion.
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