What is moment of inertia in terms of angular momentum (L) and kinetic energy (K)?

Options

A. `(L)/(2K)`
B. `(L^(2))/(2K)`
C. `(L)/(2K^(2))`
D. `(L^(2))/(K)`

Answer

B

Explanation

Kinetic energy `K=(1)/(2)Iomega^(2)`
`=(I^(2)omega^(2))/(2I)`
`=(L^(2))/(2I)`
`therefore I=(L^(2))/(2K)`