A glass beaker has a solid, plano-convex base of refractive index 1.60, as shown in the figure. The radius of curvature of the convex surface ( $S P U$ ) is 9 cm , while the planar surface (STU) acts as a mirror. This beaker is filled with a liquid of refractive index $n$ up to the level QPR. If the image of a point object $O$ at a height of $h$ (OT in the figure) is formed onto itself, then, which of the following option(s) is (are) correct?