The densities of two solid spheres A and B of the same radii \( R \...
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The densities of two solid spheres A and B of the same radii \( R \) vary with radial distance \( r \) as \( \rho_{A}(r)=k\left(\frac{r}{R}\right) \) and \( \rho_{B}(r)=k\left(\frac{r}{R}\right)^{5} \), respectively, where \( k \) is a constant. The moments of inertia of the indivisual spheres about axes passing through their centres are \( I_{A} \) and \( I_{B} \), respectively. If \( \frac{I_{B}}{I_{A}}=\frac{n}{10} \), the value of \( \mathrm{n} \) is.
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