A cord is wound round the circumference of wheel of radius $r$. The axis of the wheel is horizontal and moment of inertia about it is $I$. A weight $mg$ is attached to the end of the cord and falls from rest. After falling through a distance $h$, the angular velocity of the wheel will be
A cord is wound round the circumference of wheel of radius $r$. The axis of the wheel is horizontal and moment of inertia about it is $I$. A weight $mg$ is attached to the end of the cord and falls from rest. After falling through a distance $h$, the angular velocity of the wheel will be
- A
$\sqrt {\frac{{2gh}}{{I + mr}}} $
- B
$\sqrt {\frac{{2mgh}}{{I + m{r^2}}}} $
- C
$\sqrt {\frac{{2mgh}}{{I + 2m{r^2}}}} $
- D
$\sqrt {2gh} $
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