Tissue can be approximated using a discrete model in which scatterers (or organelles) are represented as spheres within a uniform surrounding medium (or cytoplasm). Macroscopically, the effective index of refraction of this ensemble may be calculated as: ???? = ???? (1 ??)?? where ?? is the volume fraction of all the scatterers to the surrounding volume, and ?? and ?? are the indices of refraction of the scatterers and surrounding medium, respectively. Calculate the effective index of refraction of a cell with a radius of ????? = 8 m comprising 5000 organelles, each having a radius of ???? = 300 nm. You may assume that the cytoplasm has an index of refraction of 1.35 while the organelles have an index of refraction of 1.45. Note that organelles can be considered as scatterers and cytoplasm as the surrounding medium. (1mark)