Question:medium
Two solid spheres of radii \(10\) cm and \(5\) cm are in contact with each other. If the density of the material of the smaller sphere is twice the density of the material of the larger sphere, then the distance of the centre of mass of the system from the centre of the smaller sphere is
Two solid spheres of radii \(10\) cm and \(5\) cm are in contact with each other. If the density of the material of the smaller sphere is twice the density of the material of the larger sphere, then the distance of the centre of mass of the system from the centre of the smaller sphere is
Show Hint
For objects of different densities,
\[
\boxed{\text{Mass}=\rho\times\text{Volume}.}
\]
Then use
\[
\boxed{
x_{CM}
=
\frac{\sum mx}{\sum m}
}
\]
to locate the centre of mass.
Updated On: Jul 18, 2026
- \(6\) cm
- \(9\) cm
- \(12\) cm
- \(8\) cm
Show Solution
The Correct Option is C
Solution and Explanation
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