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Mathematics 20 Online
OpenStudy (anonymous):

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

OpenStudy (anonymous):

If they're the same factor - \(10^{-7}\) - then the decimal value is compared.

OpenStudy (anonymous):

so it would be alot shorter?

OpenStudy (anonymous):

When you're dealing with scientific notation, if they have the same power beside 10, the higher, the longer.

OpenStudy (stamp):

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.

OpenStudy (anonymous):

oh ok :) thanks

OpenStudy (stamp):

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.

OpenStudy (anonymous):

hmm. great explanation

OpenStudy (stamp):

Glad to hear it

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