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 $9 \mathrm{~cm}$, 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 $\mathrm{O}$ at a height of $h$ (OT in the figure) is formed onto itself, then, which of the following option(s) is(are) correct?
![JEE Advanced 2024 Paper 1 Online Physics - Geometrical Optics Question 3 English](https://app-content.cdn.examgoal.net/fly/@width/image/jaoe38c1lxfrv966/4a8ed557-5498-4315-ba45-3dc6699dae63/7edbb4e0-2ae5-11ef-8eaf-2b19e12f0f8b/file-jaoe38c1lxfrv967.png?format=png)
![JEE Advanced 2023 Paper 2 Online Physics - Geometrical Optics Question 5 English](https://app-content.cdn.examgoal.net/fly/@width/image/1liipc1a4/f953b43c-5cde-4562-b09f-f055d085bd76/b1654bc0-038a-11ee-add3-0f52d4fe427d/file-1liipc1a5.png?format=png)
![JEE Advanced 2023 Paper 1 Online Physics - Geometrical Optics Question 6 English](https://app-content.cdn.examgoal.net/fly/@width/image/1liip7ya2/2d96594b-e54f-4ebc-b99a-33821d69cacc/3fd751b0-038a-11ee-add3-0f52d4fe427d/file-1liip7ya3.webp?format=webp)
Three plane mirrors form an equilateral triangle with each side of length $L$. There is a small hole at a distance $l>0$ from one of the corners as shown in the figure. A ray of light is passed through the hole at an angle $\theta$ and can only come out through the same hole. The cross section of the mirror configuration and the ray of light lie on the same plane.
Which of the following statement(s) is(are) correct?