The expression for the optical density is given by-
Log10 (1/T), where T is the transmittance. From this the dimensional formula can be deduced.
Optical density
Optical density is the ratio of the speed of light in two media. Whenever light passes through an optically dense medium, it bends towards the normal. The extent to which it bends is measured as the optical density of the medium. As optical density is the ratio of two same physical quantities, therefore it has no unit. Hence, optical density is a dimensionless quantity.
The other 3 quantities mentioned in the options above have a specific unit and thus have dimensions.
Also Read: Ray Optics & Optical Instruments
The physical world includes the complications of the natural world around us. It is a type of analysis of the physical world around us to understand how it works. The fundamental forces that control nature are: