Which statement is NOT a correct description of the relationship between meters and nanometers? A. 1 m = 10–9 nm B. 1 m = 1,000,000,000 nm C. 000 001 m = 1 nm D. 1 / 1,000,000,000 m = 1 nm
The Correct Answer and Explanation is:
The correct answer is C. 000 001 m = 1 nm.
Explanation:
The relationship between meters (m) and nanometers (nm) is based on the metric system, which uses powers of 10. Specifically:
- 1 meter (m) is equal to 1,000,000,000 nanometers (nm). This means that 1 m = 1 × 10^9 nm or 1 m = 1,000,000,000 nm.
Therefore, statement B is correct.
- 1 nanometer (nm) is one billionth of a meter, or 1 nm = 10^-9 m. This makes statement A also correct.
- 1 nm = 1 × 10^-9 m means that 1 / 1,000,000,000 m = 1 nm. This makes statement D correct as well.
However, statement C is incorrect. It says that 000 001 m = 1 nm, which is equivalent to saying 1 µm = 1 nm. This is false because 1 micron (µm) is 1,000 nanometers, not 1. Therefore, statement C does not accurately reflect the relationship between meters and nanometers.
In summary:
- 1 m = 1,000,000,000 nm is true.
- 1 m = 10^-9 nm is true.
- 1 / 1,000,000,000 m = 1 nm is true.
- 000 001 m = 1 nm is incorrect.
