The Molecules Inside the Cell Constantly Collide with Other Molecules

Multiple Choice

The molecules inside the cell constantly collide with other molecules and diffuse through the cytoplasm in a random walk. The average net distance traveled by such a molecule after a certain time period t is proportional to the square root of t, i.e. (t) ⁰.⁵, as well as to its diffusion coefficient. If, on average, it takes a molecule 100 milliseconds to travel a net distance of 0.5 µm from its starting point, how long would it normally take for the same molecule to travel a net distance of 5 µm from the same starting point?

A) 0.2 second
B) 0.3 second
C) 1 second
D) 10 seconds
E) 0.32 seconds