A cord is wound round the circumference of wheel of radius

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 fills from the rest .After falling through a distance h, the angular velocity of the wheel will be

Options

(a) √2gh / (1 + mr)
(b) √2mgh / (1 + mr²)¹/²
(c) √2mgh / (1 +2mr²)¹/²
(d) √2gh

Correct Answer:

√2mgh / (1 + mr²)¹/²

Explanation:

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