Two rigid bodies `A` and `B` rotate with angular momenta `L_(A)` and `L_(B)` respectively. The moments of inertia of `A` and `B` about the axes of rotation are `I_(A)` and `I_(B)` respectively. If `I_(A)=I_(B)//4` and `L_(A)=5L_(B)`, then the ratio of rotational kinetic energy `K_(A)` of `A` to the rotational kinetic energy `K_(B)` of `B` is given by

Options

A. `25//4`
B. `5//4`
C. `1//4`
D. 100

Answer

D

Explanation

`(E_(1))/(E_(2))=(L_(1)^(2))/(L_(2)^(2))xx(I_(2))/(I_(1))=25xx4=(100)/(1)`.