the wavelengths of visible light are between 3.8 x 10^-7 and 7.6 x 10^-7 m. are these wavelegths longer or shorter than those of ultraviolets. ultraviolets= 1 x 10^-7
If they're the same factor - \(10^{-7}\) - then the decimal value is compared.
so it would be alot shorter?
When you're dealing with scientific notation, if they have the same power beside 10, the higher, the longer.
vw = visible wavelength \[3.8^{1}10^{-7} \le vw \le 7.6^{1}10^{-7}\]\[ultraviolet = 1^{1}10^{-7} \]\[ 1^{1}10^{-7} < 3.8^{1}10^{-7} \] The visible wavelength is greater than the ultraviolet wavelength.
oh ok :) thanks
When considering:\[ 1^{1}10^{-7} < 3.8^{1}10^{-7} \] Divide each side by: \[ 10^{-7} \] And you are left with:\[1^{1} < 3.8^{1} \] This shows ultraviolet is shorter than visible wavelength by a factor of 3.8.
hmm. great explanation
Glad to hear it
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