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A bullet of mass 10 g and speed 500 m//s...

A bullet of mass 10 g and speed `500 m//s` is fired into a door and gets embedded exactly at the centre of the door. The door is 1.0 m wide and weighs 12 kg. It is hinged at one end and rotates about a vertical axis practically without friction. Find the angular speed of the door just after the bullet embeds into it.
(Hint: The moment of inertia of the door about the vertical axis at one end is `ML2//3.)`

A

`0.25 rad"/"s`

B

`0.625 rad"/"s`

C

`0.125 rad"/"s`

D

`0.65 rad"/"s`

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