If angular momentum of a body is increased by 200% its kinetic energy will increase by

Options

A. `400%`
B. `800%`
C. `200%`
D. `100%`

Answer

B

Explanation

When the angular momentum of a body is increased by 200%, its new momentum L. will become.
`L.=L+(200L)/100=3L, (k.)/k=((L.)/L)^2=[(3L)/L]=9 , k. = 9k`
`%` increase in kinetic energy = `(k.-k)/k xx100= (9k-k)/k xx100=800%`