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NEET2013PhysicsRotational MotionActual

Two rigid bodies A and B rotate with rotational kinetic energies E_A and E_B respectively. The moments of inertia of A and B about the axis of rotation are I_A and I_B respectively. If I_A= I_B 4 and E_A=100=E_B , the ratio of angular momentum (L_A ) of A to the angular momentum (L_B ) of B is

Options

  1. A25
  2. B5 / 4
  3. C5
  4. D1 / 4

Correct answer

C. 5

Step-by-step solution

From, the formula, rotational KE E_ rotational = 1 2 l ^2= L^2 2 ( L= ) Therefore, L^2=2 E l Hence L_A^2=2 E_A I_A (i) and L_B^2=2 E_B I_B (ii) From Eq. (i) and (ii) aligned & L_A L_B = 2 E_A I_B 2 E_B I_A = 100 4 =5 & ( E_B E_A =100 and I_A I_B =4 ) aligned

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