Suppose that you are observing the Brownian motion of a spherical particle (radius 1 um) at…

Suppose that you are observing the Brownian motion of a spherical particle (radius 1 um) at room temperature (295 K). You collect a set of measurements on the 2-dimensional diffusion of these particles. You find that after a time t the particles have typically diffused a distance R from the origin, as follows: t/seconds 100 500 1000 2000 R/microns 10 22.4 31.6 44.8 Plot this data in such a way so as to obtain a linear plot, and estimate the diffusion constant of the spherical particle from your graph.