A Pencil of Mass M and Length L Has a Moment

Multiple Choice

A pencil of mass M and length L has a moment of inertia about its center of mass of (1/12) M L² (assume uniform mass distribution) . It balances vertically on the eraser in a state of unstable equilibrium, with a fly of mass m perched on the other end. Assuming the fly hangs on and the eraser does not slip, when M approaches zero, the speed of the fly as it hits the desk is

A) v = $\sqrt { g L }$ /2.
B) v = $\sqrt { g L }$
C) v = $\sqrt { 2 g L }$
D) v = 2 $\sqrt { g L }$
E) v = 2 $\sqrt { 2 g L }$