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The figure shows a uniform rod lying alo...

The figure shows a uniform rod lying along the X-axis. The locus of all the points lying on the XY-plane, about which the moment of inertia of the rod is same as that about O is

A

an ellipse

B

a circle

C

a parabola

D

a straight line

Text Solution

Verified by Experts

The correct Answer is:
B
From theorem of parallel axis, moment of inertia about an axis passing through a distance `l//2` from centre in all directions will have moment of inertia `(ml^(2))/(3)`. All such points at same distance from centre will lie in a circle.
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