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Effect of moment of inertia of a rigid body due to thermal expansion is  ΔII=xαΔt where  x=(where I is moment of inertia;I is change in  moment of inertia;  α is coefficient of linear expansion of solid;t is change in temperature)

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By Expert Faculty of Sri Chaitanya
a
1
b
2
c
3
d
4
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detailed solution

Correct option is B

moment of inertia I=mK2 m is mass; K is radius of gyration on differentiating above equation and dividing same with above equation ∆II=2∆KK fractional change in moment of inertia is ∆II=2α∆t α is coefficient of linear expansion of solid ∆t is change in temperature


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The coefficient of linear expansion of brass and steel are α1 and α2. If we take a brass rod of length l1 and steel rod of length l2 at 0oC, their difference in length l2l1will remain the same at all temperatures if 

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