The moment of inertia of a solid sphere about an axis passing through its center is 0.8kg2 The moment of inertia of another solid sphere whose mass is same as mass of first sphere but the density is eight times density of first sphere, about an axis passing through its center is

Question

The moment of inertia of a solid sphere about an axis passing through its center is 0.8kg2 The moment of inertia of another solid sphere whose mass is same as mass of first sphere but the density is eight times density of first sphere, about an axis passing through its center is (A) 0.1 kgm2 (B) 0.2 kgm2 (C) 0.4 kgm2 (D) 0.5 kgm2

Tardigrade Admin · Accepted Answer

Mass is same and D propto (1/R3) (I1/I2) = ( (R1/R2) )2 = ( (D2/D1))(2/3)

Q. The moment of inertia of a solid sphere about an axis passing through its center is $0.8 k g^{2}$ The moment of inertia of another solid sphere whose mass is same as mass of first sphere but the density is eight times density of first sphere, about an axis passing through its center is

$0.1 k g m^{2}$

$0.2 k g m^{2}$

$0.4 k g m^{2}$

$0.5 k g m^{2}$

Mass is same and $D \propto \frac{1}{R ^{3}}$
$\frac{I _{1}}{I _{2}} = (\frac{R _{1}}{R _{2}})^{2} = (\frac{D _{2}}{D _{1}})^{\frac{2}{3}}$

Q. The moment of inertia of a solid sphere about an axis passing through its center is 0.8kg2 The moment of inertia of another solid sphere whose mass is same as mass of first sphere but the density is eight times density of first sphere, about an axis passing through its center is

0.1kgm2

0.2kgm2

0.4kgm2

0.5kgm2