A bullet of mass $10 \mathrm{~g}$ and speed $500 \mathrm{~m} / \mathrm{s}$ is fired into a door and gets…

A bullet of mass $10 \mathrm{~g}$ and speed $500 \mathrm{~m} / \mathrm{s}$ is fired into a door and gets embedded exactly at the centre of the door. The door is $1.0 \mathrm{~m}$ wide and weighs $12 \mathrm{~kg}$. It is hinged at one end and rotates about a vertical axis practically without friction. The angular speed of the door just after the bullet embeds into it will be :
  1. $6.25 \mathrm{rad} / \mathrm{sec}$
  2. $0.625 \mathrm{rad} / \mathrm{sec}$
  3. $3.35 \mathrm{rad} / \mathrm{sec}$
  4. $0.335 \mathrm{rad} / \mathrm{sec}$

Solution

No solution is given.

Asked in: JEE Main 2013 (09 Apr Online)

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