A system consists of a block of mass \(m\) attached to an ideal, light string wrapped securely around the perimeter of a uniform solid disk of mass \(M\) and radius \(R\). The disk is mounted on a fixed, frictionless horizontal axle through its center, and its rotational inertia is \(I = \dfrac{1}{2}MR^2\). The system is released from rest, and the string unwinds without slipping as the block falls vertically. In terms of \(m\), \(M\), \(g\), and \(h\), which of the following correctly gives the ratio of the block's translational kinetic energy to the disk's rotational kinetic energy, \(\dfrac{K_{\text{block}}}{K_{\text{disk}}}\), and the speed \(v\) of the block after it has descended a distance \(h\)?