Questão de Matemática e suas Tecnologias #01a0e94a

The minimum size that human vision can distinguish without the use of auxiliary equipment is equivalent to 100 micrometers (1 micrometer = $10^{-3}$ millimeters). A student intends to view and analyze human red blood cells, which measure 0.007 mm in diameter. She acquired an optical microscope that has an eyepiece lens that magnifies the image of the observed object by 10 times, and a set of objective lenses with the following magnification capacities:

• lens I: 2 times;
• lens II: 10 times;
• lens III: 15 times;
• lens IV: 1.1 times;
• lens V: 1.4 times.

The operation of this microscope allows the use of the eyepiece lens alone or combined with one of its objective lenses, resulting, in the latter case, in an increase in its final magnification power, which is given by the product of the eyepiece and objective magnification capacities.

This student intends to select the objective lens with the lowest magnification capacity that allows, when combined with the eyepiece, the visualization of human red blood cells.

The objective lens to be selected by the student is