The angular momentum of a rotating body is ' L '. When the frequency of rotating body is tripled and its kinetic energy is made one-third, the new angular momentum becomes

Step-by-step solution

The angular momentum L and rotational kinetic energy K of a rotating body are related by its angular velocity = 2 f , where f is the frequency. Starting from the definition of rotational kinetic energy, K = 1 2 I ^2 , and substituting the angular momentum relation L = I to eliminate the moment of inertia I , we obtain I = L . Substituting into the kinetic energy expression gives K = 1 2 L ^2 = 1 2 L . Replacing with 2 f yields K = 1 2 L (2 f) = L f , which rearranges to L = K f . For the initial state, L₁ = K₁ f₁ .