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The ratio of the radii of gyration of a hollow sphere and a solid sphere of the same radii about aA. `sqrt((7)/(3))`B. `(5)/(sqrt(21))`C. `sqrt((21)/(5))`D. `(25)/(9)` |
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Answer» Correct Answer - B Hollow sphere, `K_(H)=sqrt((I)/(m))=sqrt(((2)/(3)mR^(2)+mR^(2))/(m))=sqrt((5)/(3))R` Solid sphere, `K_(S)=sqrt((I)/(m))=sqrt(((2)/(5)mR^(2)+mR^(2))/(m))=sqrt((7)/(5))R` `:. (K_(H))/(K_(S))=sqrt((25)/(21))=(5)/(sqrt(21))`. |
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