Given below are two statements: one is labelled as Assertion and the other is labelled as Reason.
Assertion: Moment of inertia of a circular disc of mass '
' and radius '
' about
axes (passing through its plane) and
-axis which is perpendicular to its plane were found to be
and
respectively. The respective radii of gyration about all the three axes will be the same.
Reason : A rigid body making rotational motion has fixed mass and shape.
In the light of the above statements, choose the most appropriate answer from the options given below.
Text Solution
Verified by ExpertsC
: According to the perpendicular axes theorem

Moment of inertia about an axis perpendicular to plane is

where
is radius of gyration.

So, the radius of gyration about
axis will not be same. A rigid body making rotational motion has fixed mass and shape. It is the property of a rigid body.
So, assertion is wrong but reason is true.
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