A disc of mass \( m \) and radius \( r \) is free to rotate about its centre as shown in the fig...

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A disc of mass \( m \) and radius \( r \) is free to rotate about its centre as shown in the figure. A string is wrapped over its rim and a block of mass \( \boldsymbol{m} \) is attached to the free end of the string. The system is released from rest. The speed of the block as it descends through a height \( h \), is
(1) \( \sqrt{2 g h} \)
(2) \( \sqrt{\frac{2}{3} g h} \)
(3) \( 2 \sqrt{\frac{g h}{3}} \)
(4) \( \frac{1}{2} \sqrt{3 g h} \)
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