The ratio of the radii of gyration of a hollow sphere and a solid sphere of the same radii about a

The ratio of the radii of gyration of a hollow sphere and a solid sphe

1.	The ratio of the radii of gyration of a hollow sphere and a solid sphere of the same radii about a
Answer» `sqrt((7)/(3))` `(5)/(sqrt(21))` `sqrt((21)/(5))` `(25)/(9)` Solution :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))`.