Of the two eggs those have identical sizes, shapes and...

Of the two eggs those have identical sizes, shapes and weights, one is raw, and other is half boiled. The ratio between the moment of inertia of the raw to the half boiled egg about central axis is
(a) one
(b) greater than one
(c) less than one
(d) not comparable

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Key Concepts

Moment of Inertia

The moment of inertia is a measure of an object's resistance to angular acceleration and depends on how its mass is distributed relative to the axis of rotation. It is calculated by integrating the mass elements multiplied by the square of their distances from the axis, and it plays a central role in rotational dynamics.

Rigid Body Dynamics

Rigid body dynamics concerns the motion of solid objects where the relative positions of the constituent particles remain fixed. In such systems, the moment of inertia remains constant during rotation, simplifying analysis and making it distinct from cases where internal motion or deformation occurs.

Internal Fluid Dynamics in Rotating Bodies

In bodies that contain internal fluids, like a raw egg, the internal parts may not immediately follow the motion of the outer shell. This decoupling can result in an effective variation in the observed moment of inertia, as the liquid’s delayed response means that the mass distribution relative to the rotational axis can differ from that in a fully or half boiled (more rigid) egg.

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