Converting Angstroms to Meters

Worked Unit Conversion Example Problem

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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.