Converting Angstroms to Meters

This example problem demonstrates how to convert angstroms to meters. An angrstrom (Å) is a linear measurement used to express extremely small distances.

Problem:

The spectra of the element sodium has two bright yellow lines known as the "D lines" with a wavelengths of 5889.950 Å and 5895.924. What are the wavelengths of these lines in meters?

Solution:

1 Å = 10^-10 m
Set up the conversion so the desired unit will be cancelled out. In this case, we want meters to be the remaining unit.

wavelength in m = (wavelength in Å) x (10^-10) m/1 Å)
wavelength in m = (wavelength in Å x 10^-10) m

First line:
wavelength in m = 5889.950 x 10^-10) m
wavelength in m = 5889.950 x 10^-10 m or 5.890 x 10-7 m


Second line:
wavelength in m = 5885.924 x 10^-10) m
wavelength in m = 5885.924 x 10^-10 m or 5.886 x 10-7 m


Answer:

Sodium's D lines have wavelengths of 5.890 x 10-7 m and 5.886 x 10-7 m respectively.