Tuesday, March 3, 2020

Converting Angstroms to Nanometers Example Problem

Converting Angstroms to Nanometers Example Problem This example problem demonstrates how to convert angstroms to nanometers. Angstroms (Ã…) and nanometers (nm) are both linear measurements used to express extremely small distances. Problem The spectra of the element mercury have a bright green line with a wavelength of 5460.47 Ã…. What is the wavelength of this light in nanometers? Solution 1 Ã… 10-10 m1 nm 10-9 mSet up the conversion so the desired unit will be canceled out. In this case, we want nanometers to be the remaining unit.wavelength in nm (wavelength in Ã…) x (10-10 m/1 Ã…) x (1 nm/10-9 m)wavelength in nm (wavelength in Ã…) x (10-10/10-9 nm/Ã…)wavelength in nm (wavelength in Ã…) x (10-1) nm/Ã…)wavelength in nm (5460.47/10) nmwavelength in nm 546.047 nm​ Answer The green line in mercurys  spectra has a wavelength of 546.047 nm. It may be easier to remember there are 10 angstroms in 1 nanometer. This would mean that 1 angstrom is a tenth of a nanometer and a conversion from angstroms to nanometers would mean moving the decimal place one position to the left. Remember to check your significant figures when reporting measurements. In science, even if you do the calculation correctly, your answer is technically incorrect if not reported using significant digits.

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