if masses of two solid spheres are in the ratio 1:2 and their radii are in the ratio 1: 2 then their densities will be in the ratio :
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Explanation:
Let the density of sphere be ρ
Now for the bigger sphere let the radius be 2R,
M
1
=
3
4π(2R)
3
Now for smaller sphere let the radius be R , M
2
=
3
4π(R)
3
,
So M
1
=8M
2
Moment of inertia of bigger sphere I
1
=
5
2M
1
(2R)
2
Moment of inertia of smaller sphere I
2
=
5
2M
2
(R)
2
So
I
1
I
2
=1:32
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