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A uniform chain \( A B \) of mass \( m \) and length \( l \) is placed with one end \( A \) at the highest point of a hemisphere of radius \( R \). Referring to the top of the hemisphere as the datum level, the potential energy of the chain is (given that \( \left(\right. \) given that \( \left.l\frac{\pi R}{2}\right) \)
(1) \( \frac{m R^{2} g}{l}\left(\frac{l}{R}-\sin \frac{l}{R}\right) \)
(2) \( \frac{m R^{2} g}{2 l}\left(\frac{l}{R}-\sin \frac{l}{R}\right) \)
(3) \( \frac{m R^{2} g}{2 l}\left(\sin \frac{l}{R}-\frac{l}{R}\right) \)
(4) \( \frac{m R^{2} g}{l}\left(\sin \frac{l}{R}-\frac{l}{R}\right) \)
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