Two solid spheres of different materials have the same moments of inertia about their diameters. If `r_(1)` and `r_(2)` are their radii, ratio of their densities isA. `r_(1)^(3) : r_(2)^(3)`B. `r_(2)^(3):r_(2)^(3)`C. `r_(1)^(5):r_(2)^(5)`D. `r_(2)^(5):r_(1)^(5)`

Two solid spheres of different materials have the same moments of iner

1.	Two solid spheres of different materials have the same moments of inertia about their diameters. If `r_(1)` and `r_(2)` are their radii, ratio of their densities isA. `r_(1)^(3) : r_(2)^(3)`B. `r_(2)^(3):r_(2)^(3)`C. `r_(1)^(5):r_(2)^(5)`D. `r_(2)^(5):r_(1)^(5)`
Answer» Correct Answer - D `I_(1)=I_(2)` `(2)/(5)M_(1)R_(1)^(2)=(2)/(5)M_(2)R_(2)^(2)` `rho_(1)V_(1)R_(1)^(2)=rho_(2)V_(2)R_(2)^(2)` `rho_(1)(4pi)/(3)R_(1)^(3)R_(1)^(2)=rho (4pi)/(3)R_(1)^(3)R_(2)^(3)` `(rho_(1))/(rho_(2))=(R_(2)^(5))/(R_(1)^(5))`.

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Two solid spheres of different materials have the same moments of inertia about their diameters. If `r_(1)` and `r_(2)` are their radii, ratio of their densities isA. `r_(1)^(3) : r_(2)^(3)`B. `r_(2)^(3):r_(2)^(3)`C. `r_(1)^(5):r_(2)^(5)`D. `r_(2)^(5):r_(1)^(5)`

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