Question

The ratio of one micron to one nanometer is
$A)\;{\text{1}}{{\text{0}}^{ - 3}} $
$B)\;{\text{1}}{{\text{0}}^3} $
$C)\;{\text{1}}{{\text{0}}^{ - 6}} $
$D)\;{\text{1}}{{\text{0}}^{ - 9}} $

Answer 1

Hint: The one micron is equal to the${10^{ - 6}}$. And the one nanometer is equal to the${10^{ - 9}}$. With the help of the ratio we get the solution

Complete step by step solution:
We take the ratio in meter because the standard unit of length is meter.
So, the 1 micron,
$1\mu m = {10^{ - 6}}m$
Micron is known as the micrometer. It is represented by . The micrometer is commonly employed to measure the thickness or diameter of the microscopic objects, such as microorganisms and the colloidal particles. Micrometer is a measuring instrument that can make extraordinarily precise measurements.
1 nanometer,
$1nm = {10^{ - 9}}m$
Nanometer is represented by nm. A nanometer is used to measure things that are very small. Atoms and molecules, the smallest pieces of everything around us, are measured in nanometers.
So, the ratio is
$\dfrac{{1\mu m}}{{1nm}} = \dfrac{{{{10}^{ - 6}}}}{{{{10}^{ - 9}}}} $
 $ \Rightarrow \dfrac{{1\mu m}}{{1nm}} = {10^{ - 6 + 9}}$
 $\Rightarrow \dfrac{{1\mu m}}{{1nm}} = {10^3} $

So, the correct answer is “Option A”.

Note: Nanometer and micrometer is used for measuring the distances. There are many units used to measure the distances. Like, millimeter, picometer, Femtometer. For a larger distance, kilometer is used as a measuring distance.
We can also calculate the distance in the units of AU as well as light year. But this units Is so large.