An equailaral triangle ABC formed from a uniform wire has two small identical beads initially located at A. The triangle is set rotating about the vertical axis AO. Then the beads are released from rest simultaneously and allowed to slide down, one along AB and the other along AC as shown. Neglectig frictional effects, the equatities that are conserved as the beads slids down, are

Options

A. angular velocity and total energy (kinetic and potential)
B. Total angular momentum and total energy
C. angular velocity and moment of inertia about the axis of rotaiton
D. total angular momentum and momento f inertia about the axis of rotation

Answer

B

Explanation

The M.I. about the axis of rotation is not constant as
the perpendicular distance of the bead with the axis of
rotation increases.
Also since no external torque is acting.
`:. Tau_(ext) = (dL)/(dt) rArr L = constant rArr constant`
Since, I increases, `omega` decreases.