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The wavelength of the orange light in meters is  [tex]0.00000059[/tex] or [tex]5.9[/tex] × [tex]10^-7[/tex].

Given the following data:

  • Wavelength of orange light = [tex]5.9[/tex] × [tex]10^-5 \; cm[/tex]

To find the wavelength of the orange light in meters:

In order to determine or solve for the wavelength of the orange light in meters, we would convert the value of the wavelength in centimeters to meters.

Conversion:

100 centimeters = 1 meters

[tex]5.9[/tex] × [tex]10^-5[/tex] centimeters = X meters

Cross-multiplying, we have;

[tex]100[/tex] × [tex]X[/tex] [tex]=[/tex] [tex]5.9[/tex] × [tex]10^-5[/tex]

[tex]X = \frac{0.000059}{100}[/tex]

X = [tex]0.00000059[/tex] meters or [tex]5.9[/tex] × [tex]10^-7[/tex] meters.

Therefore, the wavelength of the orange light in meters is  [tex]0.00000059[/tex] or [tex]5.9[/tex] × [tex]10^-7[/tex].

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