Question

1 micron = ________nanometer?
A.${10}^{-6}$
B.${10}^{-10}$
C.${10}^3$
D.${10}^{-3}$

Answer 1

Hint: Length is used to measure the distance of one point to another based on the SI system of units, both micron and nanometer are used to calculate microscopic length or sizes of order less than or equal to ${10}^{-6}$ . The conversion of unit from one unit to another is done by multiplicative conversion factors so by using it we will convert 1 micron to nanometer.

Complete answer:
To calculate length we have different units of it such as centimeter, meter or kilometer etc. but to calculate small length or sizes like wavelength or size of microorganism or atoms units like nanometer or microns are used which are easy to pronounce rather than typing or saying too many trailing zeros after the decimal point.
Therefore, we use small units to measure microscopic lengths and to make calculations easier we have to convert them according to required problem statements.
Now, to convert 1 micron to nanometer we have,
Micron or one micrometer is defined as
$=>1\mu m$
Nanometer or one nanometer is defined as,
$=>1nm$
Now, we know that,
$=>1\mu m={10}^{-6}m$
$=>1nm={10}^{-9}m$
From the above two equations we have,
$=>1\mu m={10}^{-6}\times 1m={10}^{-6}\times {\displaystyle \frac{1nm}{{10}^{-9}}}$
$=>1\mu m={10}^{3}nm$

$\therefore$ 1 Micron will be equivalent to ${10}^{3}nm$ so option (C) is correct.

Note:
In real life calculations or to solve some problem statements which involve length, size or weight or any kind of physical measurement, unit conversion plays a significant role by which we can avoid calculation mistakes by converting units in the same format before the calculations. Some examples of different units of lengths are millimeter, centimeter, meter, kilometer etc. or in weight measurement we have grams, milligrams, kilograms etc.