Question

1 picometer is _________ centimeter.
A. ${10}^{-10}$
B. ${10}^{-9}$
C. ${10}^{-8}$
D. ${10}^{10}$

Answer 1

Hint:To avoid confusion with units, the SI unit is an international method of measurements that is used universally in technological and science study. It is important to have a common unit system and it allows people all around the world to comprehend quantities in a single system.

Complete step by step answer:
The metre is the International System of Units' base unit of length (SI). m is the symbol for the SI unit of mass. The metre was first described in 1793 as one ten-millionth of the distance around a great circle from the equator to the North Pole, implying that the Earth's diameter is approximately 40000 km. In 1799, a prototype metre bar was used to redefine the metre (the actual bar used was changed in 1889). The metre was redefined in 1960 in terms of a specific number of wavelengths of a krypton-86 emission axis.

The original meaning was introduced in 1983 and significantly updated in 2002 to make it clear that the metre is a unit of proper length. In the metric system, a centimetre or centimetre is a unit of length equal to one hundredth of a foot, with centi being the SI prefix for a factor of ${\displaystyle \frac{1}{100}}$. In the now-deprecated centimetre–gram–second set of units, the centimetre was the base unit of measurement.

The picometre, also known as the picometer, is a metric unit of length equal to $1\times {10}^{-12}$ m, or one trillionth of a metre, and is the SI base unit of length. The picometre is one billionth of a micrometre, one trillionth of a metre, and one thousandth of a nanometre.
$1pm={10}^{-12}m$
Since
$1m={10}^{2}cm$
$$\begin{gathered} \Rightarrow 1pm={10}^{-12+2}cm \\ \therefore 1pm={10}^{-10}cm \end{gathered}$$

Hence, the correct answer is option A.

Note:The length of a picometre is so short that it is nearly exclusively seen in particle mechanics, quantum physics, chemistry, and acoustics. Atoms have diameters ranging from 62 to 520 pm, with an average carbon–carbon single bond length of 154 pm. Smaller units, such as hadrons and the upper limits of potential size for fermion point particles, can also be used to classify smaller particles (some of which are atoms themselves).