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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

हिन्दी

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): For a system of particles, the total angular momentum \( \mathbf{L} \) is equal to the vector sum of the angular momenta of individual particles. Reason (R): The linear momentum of an isolated single particle is always a conserved quantity. In the light of the above statements, choose the correct answer from the options given below:

  1. Both (A) and (R) are true and (R) is the correct explanation of (A).
  2. Both (A) and (R) are true but (R) is NOT the correct explanation of (A).
  3. (A) is true but (R) is false.
  4. (A) is false but (R) is true.

Correct answer · Option 2

Both (A) and (R) are true but (R) is NOT the correct explanation of (A).

Explanation

Total angular momentum is defined by vector superposition \( \mathbf{L} = \sum \mathbf{l}_i \). Both statements are scientifically true, but the conservation of linear momentum of an isolated particle is not the reason for the vector addition definition.
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