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 (SPU) 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?