Question

In your BIO 111 course, you learn that human hair can vary in diameter, but one estimate of the average diameter is 50 microns or 50 x 10-6 meter. How many 10-nanometer (is 10 x 10-9) particles could be stacked across the diameter of a human hair?

Answer 1

5000 particles of size 10 nanometer should be stacked

Explanation:

Average diameter of the of the human hair = 50 micron = 50 × 10⁻⁶ m

Now,

let the number of 10 nanometer i.e 10 × 10⁻⁹ m particle be 'n'

thus,

n × 10 × 10⁻⁹ m = 50 × 10⁻⁶ m

Therefore to find the number of 10 nanometer i.e 10 × 10⁻⁹ m particle,

n =
`(50*10^(-6))/(10*10^(-9))`

or

n = 5000

Hence,

5000 particles of size 10 nanometer should be stacked