A sphere is rolling down an inclined plane without slipping. The ratio of rotational kinetic energy to total kinetic energy is

Options

A. `2//5`
B. `2//7`
C. `3//5`
D. `3//7`

Answer

B

Explanation

`(K_(R))/(K_(T))= (K^(2))/(K^(2) + R^(2)) = ((2)/(5) R^(2))/((2)/(5) R^(2) + R^(2))= (2)/(7)`