Question

How many nanometers are there in $1cm$ ?

Answer 1

Hint:
In this question, we will use the concept of the conversion factor to convert $1$ centimeter to nanometer. As we know that the centimeter and the nanometer are the units of the length in which nanometers are used to measure very small length.

Complete step by step solution:
In this question, we have given a length measuring unit that is $1cm$ and we need to convert it into nanometers. As we know that both units are used to measure the length and nanometer is used to measure the small length while centimeters are generally used to measure the larger unit as compared to nanometer. As we know, many unit’s systems are used to measure length or distance such as micrometer, picometer, millimeter, meter, kilometer and so on.

Now to convert centimeter to nanometer we will use the conversion factor as,
$ \Rightarrow CF = \dfrac{{{{10}^{ - 7}}nm}}{{1cm}}$
Here, the conversion factor is $CF$.

Now we will convert $1cm$ to nanometer by multiplying the quantity of the centimeter with the conversion factor as
$ \Rightarrow 1cm = CF \times 1cm$
Now, we will substitute the value of the conversion factor in the above equation as,
$ \Rightarrow 1cm = \left( {\dfrac{{{{10}^{ - 7}}nm}}{{1cm}}} \right) \times 1cm$
After simplification, we will get,
$\therefore 1cm = {10^{ - 7}}nm$

Therefore, ${10^{ - 7}}$ nanometers are there in $1$ centimeter.

Note:
Let us convert meter into nanometer:
To convert meter to nanometer we will use the conversion factor as,
$ \Rightarrow CF = \dfrac{{{{10}^{ - 9}}nm}}{{1m}}$
Here, the conversion factor is $CF$.

Now we will convert $1m$ to nanometer by multiplying the quantity of the meter with the conversion factor as
$ \Rightarrow 1m = CF \times 1m$
Now, we will substitute the value of the conversion factor in the above equation as,
$ \Rightarrow 1m = \left( {\dfrac{{{{10}^{ - 9}}nm}}{{1cm}}} \right) \times 1m$
After simplification, we will get,
$\therefore 1m = {10^{ - 9}}nm$

Therefore, ${10^{ - 9}}$ nanometers are there in $1$ meter.