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Physics · LAWS OF MOTION

हिन्दी

Given below are two statements: Statement I: The law of conservation of linear momentum is a direct fundamental consequence of Newton's second and third laws of motion applied to an isolated system. Statement II: In an inelastic collision between two colliding bodies, the total kinetic energy of the system is conserved, but the total linear momentum is not conserved. 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 as conservation of momentum follows from \( \vec{F}_{ext} = \frac{d\vec{P}}{dt} = 0 \Rightarrow \vec{P} = \text{constant} \). Statement II is incorrect because linear momentum is ALWAYS conserved in isolated collisions, whereas kinetic energy is NOT conserved in inelastic collisions.
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