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Physics

Mechanics

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Question

The moment of inertia of a solid sphere about an axis passing through its centre is 0.8kgm² . The moment of inertia of another solid sphere whose mass is same as mass of first sphere. but the density is 8 times density of first sphere. about an axis passing through its centre is

$0.1 {kgm}^{2}$
$0.2 {kgm}^{2}$
$0.4 {kgm}^{2}$
$0.5 {kgm}^{2}$

The correct answer is: $0.2 kgm squared$

Mass is same and $D proportional to 1 over R cubed semicolon I subscript 1 over I subscript 2 equals open parentheses R subscript 1 over R subscript 2 close parentheses squared equals open parentheses D subscript 2 over D subscript 1 close parentheses to the power of 2 over 3 end exponent$

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