Two bodies have their moments of inertia I and 2I respectively

Home » Mechanics » System of Particles and Rotational Motion » Question

Two bodies have their moments of inertia I and 2I respectively about their axis of rotation. If their kinetic energies of rotation are equal, their angular momenta will be in the ratio

1. 2 : 1
2. 1 : 2
3. √2 : 1
4. 1 : √2

Correct Option: D

K =	L²	⇒ L² = 2KI ⇒ L = √2 KI
	2I

	L₁	= √	K_I	-	I_l	= √	K	-	I	=	1
	L₂		K₂		I₂		K		2I		√2

L₁ : L₂ = 1 : √2