A uniform rod of length L rests on a frictionless horizontal surface. The rod is pivoted about a fixed frictionless axis at one rod. The rod is initially at rest. A bullet travelling parallel to the horizontal surface and perpendicular to the rod with speed V_(0) strikes the rod at its centre and becomes embedded in it. The mass of the bullet is one-sixth of the mass of the rod. The final angular velocity of the rod is omega and the ratio of the kinetic energy of the system after collicion to the kinetic energy of the bullet before collision is 1/x where x is

A uniform rod of length L rests on a frictionless horizontal surface.

1.	A uniform rod of length L rests on a frictionless horizontal surface. The rod is pivoted about a fixed frictionless axis at one rod. The rod is initially at rest. A bullet travelling parallel to the horizontal surface and perpendicular to the rod with speed V_(0) strikes the rod at its centre and becomes embedded in it. The mass of the bullet is one-sixth of the mass of the rod. The final angular velocity of the rod is omega and the ratio of the kinetic energy of the system after collicion to the kinetic energy of the bullet before collision is 1/x where x is
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