# The moment of inertia of a uniform semicircula  disc of mass  and radius  about a line  perpendicular to the plane of the disc through the center is : Option 1) Option 2) Option 3) Option 4)

As we learnt in

Moment of inertia for disc -

$I=\frac{1}{2} MR^{2}$

- wherein

About an axis perpendicular to the plane of disc & passing through its centre .

We know that moment of inertia of semicircular disc through the centre $I=\frac{mr^{2}}{2}$

Option 1)

This is an incorrect option.

Option 2)

This is the correct option.

Option 3)

This is an incorrect option.

Option 4)

This is an incorrect option.

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