College Physics (4th Edition)

(a) $d = 5.0\times 10^{-3}~cm$ (b) The area has been magnified by a factor of 360,000
(a) The vessels are magnified by a factor of 600. We can find the diameter $d$ of the vessel: $d = \frac{3.0~cm}{600}$ $d = 0.0050~cm$ $d = 5.0\times 10^{-3}~cm$ (b) Let the vessel's radius be $r$. We can find an expression for the area of the vessel: $A = \pi~r^2$ In the micrograph, the radius is $600~r$. We can find the area of the image in the micrograph: $A' = \pi~(600~r)(600~r)$ $A' = 360,000~\pi~r^2$ $A' = 360,000~A$ The area has been magnified by a factor of 360,000.