Question 11 / 40:  Over which of the following length scales is the continuum hypothesis invalid for air at standard temperature and pressure (STP)?

I. inches

II. 0.1 nanometers

III. 10 nanometers

IV. 1 micron

A  I and IV only
B  I only
C  I, III, and IV only
D  I, II, III, and IV
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Explanation:

At 1 atm, and 0 degrees C there are 2 x 1025 molecules in a cubic meter. Hence for volumes of 10 nanometers on a side, there are about 20 molecules. So for volumes of about this size or smaller, the continuum hypothesis becomes tenuous.

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Fluid Mechanics ME201

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Attribution:  Stephanie Redfern and Tuan Dinh. Fluid Mechanics. The Saylor Academy 2014, http://www.saylor.org/courses/me201/
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