Question

If L, M and P are the angular momentum, mass and linear momentum of a particle respectively which of the following represent the kinetic energy of the particle when the particles rotates in a circle of radius R.
(A) L^2/ 2M.
(B) P^2/2MR.
(C) L^2 /2MR^2
(D) MP/2​

Answer 1

Answer:

Option:C(L²/(2×M×R²)).

Explanation:

⇒KE=(M×v²)/2 ,

⇒L=M×v×R ,

⇒p=M×v ,

⇒K.E=p²/(2×M) ,

⇒K.E=L²/(2×M×R²).

Hope it helps.