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Question
The moment of inertia of a circular area about its diameter is IXX. The moment of inertia of the same circular area about an axis perpendicular to the plane of the area is IZZ. Which of the following statements is correct?
,d o`fÙk; {ks=k dk tM+Ro vk?kw.kZ blds O;kl ds ifjr% IXX gSA blh o`fÙk; {ks=k dk tM+Ro vk?kw.kZ {ks=k ds lrg ds yEcor~ v{k ds ifjr% IZZ gSA fuEufyf[kr esa ls dkSu lk dFku lR; gS\
A.
IXX is always less than Izz
B.
IXX is always greater than Izz
C.
IXX is equal to Izz
D.
IXX can be equal to or greater than Izz
Answer ( Option A)

IXX is always less than Izz

Solution

The moment of inertia of different section:
For circular cross-section, IXX = Iyy = D4/64
According to perpendicular axis theorem, 
Izz = IXX + Iyy
∴Izz  = 2 × IXX
∴IXX is always less than Izz

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