Final answer:
The provided information is inconclusive for determining the dimensions of a plate as it contains broken fragments of different physics problems, related to optics and wave interference, without a clear context or diagrams.
Step-by-step explanation:
The question pertains to calculating the dimensions of a plate, and interpreting the data and information given in the context of physical lenses and light interactions. However, the information provided is fragmented and seems to be part of various unrelated physics problems, including optics and the interference of light.
For optics-related questions, typically, we are interested in variables like the focal length (represented in diopters, D), the image distance (d), and the object distance (do). For interference and wave phenomena, we deal with wavelengths (λ), and fringe patterns which help to determine physical dimensions like the diameter of a hair or a wire.
Without a specific and clear context or diagram, calculations cannot be performed accurately, and as such, we are unable to provide the dimensions of the plate. The student is advised to check the question for any missing details or diagrams that are essential to solve the problem.