In the figure shown, a ball without sliding on a horizontal surface. It ascends a curved track up to height h and returns. The value of h is h1 for sufficiently rough curved track to avoid sliding and is h2 for smooth curved track, then

If the track is smooth (case A), only translational kinetic energy changes to gravitational potential energy. But, if the track is rough (case B), both translational androtational kinetic energies change to potential energy. Therefore, potential energy (= mgh) will be more in case B than in case A.Hence, h1>h2.