Question

$1$ picometer is ___ centimeter.

• A. ${10}^{-8}$
• B. ${10}^{-9}$
• C. ${10}^{-10}$
• D. ${10}^{10}$

Answer 1

The correct option is C

${10}^{-10}$

Step 1. Explanation for the correct option.

We know that,

$$\begin{gathered} 1\mathrm{picometer}={10}^{-12}\mathrm{m} \\ 1\mathrm{m}=100\mathrm{cm} \end{gathered}$$

So,

$$\begin{gathered} 1\mathrm{picometer}={10}^{-12}\times 100 \\ ={10}^{-12}\times {10}^2 \\ ={10}^{-12+2} \\ ={10}^{-10}\mathrm{cm} \end{gathered}$$

So, option $\mathrm{C}$ is correct match.

Step 2. Explanation for the incorrect options.

As, $1\mathrm{picometer}={10}^{-10}\mathrm{cm}$

So, all the other options are incorrect.

Hence, the correct option is $\mathrm{C}$.