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

### Angstrom To Meter Conversion Problem

The spectra of the element sodium have two bright yellow lines known as the "D lines" with 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 canceled 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.