Physics · SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
हिन्दीGiven 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:
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 \( \mathbf{p} \).