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Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

हिन्दी

Given below are statements regarding torque and angular momentum: (A) The SI unit of angular momentum can be expressed as \( \text{J s} \) or \( \text{kg m}^2\text{s}^{-1} \). (B) The angular momentum of a particle about an origin is zero if the line of action of its linear momentum passes through that origin. (C) The time rate of change of total angular momentum of a particle equals the torque acting on it. (D) The direction of the angular momentum vector \( \mathbf{l} = \mathbf{r} \times \mathbf{p} \) is parallel to both the position vector \( \mathbf{r} \) and the momentum vector \( \mathbf{p} \). Choose the correct answer from the options given below:

  1. (A), (B) and (C) only
  2. (B) and (D) only
  3. (A) and (D) only
  4. (A), (C) and (D) only

Correct answer · Option 1

(A), (B) and (C) only

Explanation

Statements (A), (B), and (C) are correct. (D) is incorrect because the vector cross product \( \mathbf{r} \times \mathbf{p} \) produces a vector perpendicular to the plane containing \( \mathbf{r} \) and \( \mathbf{p} \).
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