MP Board · Class 11 · Physics · System of Particles and Rotational MotionThe SI unit of radius of gyration is:
Step-by-Step Solution
Radius of gyration ($k$) is defined as the effective distance from the axis of rotation where the entire mass of the body can be assumed to be concentrated ($I = Mk^2$). Therefore, its SI unit is the unit of distance, which is metre ($m$).
Detailed Options Breakdown
Option : $\text{kg}\cdot\text{m}^2$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of System of Particles and Rotational Motion.
Option 1: $\text{metre}$ ($m$) (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $\text{m/s}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of System of Particles and Rotational Motion.
Option 3: $\text{kg/m}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of System of Particles and Rotational Motion.
💡 Study Guide: This question tests core syllabus concepts from System of Particles and Rotational Motion. For formulas, key summaries, and mock exam reference guides, read the full System of Particles and Rotational Motion Revision Notes.