Moment of Inertia: Practice Problem & Solution
Assertion (A): Value of radius of gyration of a body depends on axis of rotation. Reason (R): Radius of gyration is rms distance of particles of the body from the axis of rotation.
Short Solution (Best for NEET):
To solve this problem, we apply the core principles of Moment of Inertia. Understanding the underlying formula is key to arriving at the correct answer below:
Radius of gyration is defined as \( k = \sqrt{I/M} \), where \( I \) is the moment of inertia. Since \( I \) depends on the axis of rotation, \( k \) also depends on the axis of rotation. R correctly defines \( k \) as an RMS distance from the axis, which means its value depends on that axis. Both A and R are true, and R explains A.
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