InterviewSolution
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InterviewSolution
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A sphere of solid material of specific gravity `8` has a concentric spherical cavity and just sinks in water. The ratio of radius of cavity to that of outer radius of the sphere must beA. `(7^(1//3))/(2)`B. `(5^(1//3))/(2)`C. `(9^(1//3))/(2)`D. `(3^(1//3))/(2)` |
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Answer» Correct Answer - A Let `rho` the density of the material `rho_(0)` be the density of water. When the sphere has just started sinking the weight of the sphere`=` weight of water displaced (approx) `implies(4)/(3)pi(R^(3)-r^(3))rhog=(4)/(3)piR^(3)rho_(0)g` `implies(R^(3)-r^(3))rho=R^(3)rho_(0)implies((R^(3)-r^(3)))/(R^(3))=(rho_(0))/(rho)` `implies(r)/(R)=((7)^(1//3))/(2)` |
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