Question

The diameter of an atom is approximately \[1 \cdot {10^{ - 8}}cm\] . What is this diameter when expressed in nanometre?

Answer 1

Hint: A unit is a quantity with a constant magnitude that is used to compare the magnitudes of other similar quantities. Unit conversions are important in all sciences, but they are especially important in chemistry since many calculations use different measurement units. Any measurement should be recorded in the correct units.

Complete answer: A unit of measurement is a definite magnitude of a quantity that is used as a norm for measuring the same kind of quantity. It is described and accepted by convention or by law. A multiple of the unit of measurement may be used to express some other quantity of that kind. A length, for example, is a physical quantity. Multiplication or division by a numerical factor, selection of the correct number of significant digits, and rounding are all part of the unit conversion process.
The nanometre, also known as a nanometre, is a metric unit of length equal to one billionth of a metre. In scientific notation, one nanometre is represented by \[1 \times {10^{ - 9}}m\] and \[\dfrac{1}{{1000000000}}{\text{ }}metres.\]
Now coming to the question;
A nanometre is \[{10^{ - 9}}\;meters\].
If you convert \[1\;cm\] into \[{10^{ - 2}}meters\], then \[{10^{ - 8}}({10^{ - 2}})\;meters\] would become \[{10^{ - 10}}\;meters\], and \[{10^{ - 10}}\;meters\] converted to nanometres (\[times\;{10^{ - 9}}\]) would be \[0.1\;nanometers\].
So, when the diameter is expressed in nanometre it would be \[0.1\;nanometers\].

Note:
Since the rest of the world, with the exception of three countries, uses the metric system, unit conversion is critical. Since science uses the metric system, converting units is essential. Metric dimensions include \[cm,{\text{ }}m,{\text{ }}l,{\text{ }}mL,\] and so on. In the United States, distances are expressed in feet, pounds, miles, and other units.