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Question: The ratio of one micron to one nanometer is \(A)\;{\text{1}}{{\text{0}}^{ - 3}} \) \(B)\;{\text...

The ratio of one micron to one nanometer is
A)  10−3A)\;{\text{1}}{{\text{0}}^{ - 3}}
B)  103B)\;{\text{1}}{{\text{0}}^3}
C)  10−6C)\;{\text{1}}{{\text{0}}^{ - 6}}
D)  10−9D)\;{\text{1}}{{\text{0}}^{ - 9}}

Explanation

Solution

The one micron is equal to the10−6{10^{ - 6}}. And the one nanometer is equal to the10−9{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,
1μm=10−6m1\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=10−9m1nm = {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
1μm1nm=10−610−9\dfrac{{1\mu m}}{{1nm}} = \dfrac{{{{10}^{ - 6}}}}{{{{10}^{ - 9}}}}
⇒1μm1nm=10−6+9\Rightarrow \dfrac{{1\mu m}}{{1nm}} = {10^{ - 6 + 9}}
⇒1μm1nm=103\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.