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Q.

A rod of length L is composed of a uniform length L/2 of wood whose mass is Mw  and a uniform length L/2 of brass whose mass is  Mb

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a

The moment of inertia of rod about an axis passing through the centre and perpendicular to it is  112MwL2

b

 The moment of inertia rod about an axis passing through the centre and perpendicular to it is  112Mw+MbL2

c

The moment of inertia of rod about an axis passing through the wood end and perpendicular to the rod is   13Mw+MbL2

d

The moment of inertia of rod about an axis passing through the wood end and perpendicular to the rod is 112Mw+7MbL2

answer is D, B.

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Detailed Solution

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I1=13MwL24+13MbL24

Question Image

=112Mw+MbL2

I2=13MwL24+112Mb.lb24+Mb3L42=112Mw+7MbL2

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