Question

The units nanometer and picometer are related as,

• A. \(1\ \text{nm} = 10^3\ \text{pm}\)
• B. \(1\ \text{nm} = 10^{-9}\ \text{pm}\)
• C. \(1\ \text{nm} = 10^{-12}\ \text{pm}\)
• D. \(1\ \text{nm} = 10^{-3}\ \text{pm}\)

Hint:

To convert between SI prefixes, subtract the powers of ten.

Answer 1

The Correct Option is A

Step 1: Write SI prefixes.
Nano (n) \(= 10^{-9}\)
Pico (p) \(= 10^{-12}\)

Step 2: Convert nanometer to picometer.
\[ 1\ \text{nm} = \frac{10^{-9}}{10^{-12}}\ \text{m} = 10^3\ \text{pm} \]

Step 3: Conclusion.
One nanometer is equal to one thousand picometers.