A small source of light is mounted inside a cylindrical container of height h The bottom of the container is covered with a

Question

A small source of light is mounted inside a cylindrical container of height h The bottom of the container is covered with a mirror Initially the container is empty Then a clear liquid with the index of refraction n is slowly poured into the container The level of liquid H rises steadily reaching the top of the container in time T Let hy be the distance of source of the light from the bottom of the container Consider paraxial ray approximation Consider two cases near normal incidence only Source of light Mirror Case P H hy Light rays from source travel down and then mirror sends them back into a eye above the container Case Q h H h Light rays directly go up refract through water and reach eye above container 1 A The speed of the image of the source in case P during this process is 1 B The speed of the image of the source in case Q during this process is C The speed of the image of the source in case P during this process is DI The speed of the image of the source in case O during this process is hy 1 1

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