Solved: PHYSICS Question for NEET

NEET PHYSICSEasy

Unit of moment of inertia in MKS system

kg cm $^2$

kg/cm $^2$

kg m $^2$

Joule m

Definition: Moment of Inertia ( $I$ ) is defined as the sum of the products of the masses of the particles ( $m$ ) and the square of their perpendicular distances ( $r$ ) from the axis of rotation, expressed as $I = \sum m_i r_i^2$ .
Dimensional Formula: The dimensions of mass are $[M]$ and length are $[L]$ . Therefore, the dimensional formula for moment of inertia is $[ML^2]$ .
MKS System: In the MKS (Metre-Kilogram-Second) system, which corresponds to SI units for mechanical quantities, the unit of mass is the kilogram (kg) and the unit of length is the metre (m).
Conclusion: Substituting these units into the dimensional relationship yields the unit $\text{kg m}^2$ .

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