Angular momentum L and rotational kinetic energy `K_R` of a body are related to each other by the relation. (I = moment of inertia)

Options

A. EI
B. `2sqrtE I`
C. `sqrt 2EI`
D. `E//I`

Answer

C

Explanation

`E = (1)/(2)(mv^(2)v^(2))/(m)=(P^(2))/(2m)`
`"L = r P " therefore " " P=(L)/(r )`
`E=(L^(2))/(2mr^(2))`
`L^(2)=2 mEr^(2)`
` L = sqrt(2mEr^(2))= sqrt(2EI)`.