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QuestionWhat is the wavelength in nm for light with a wavelength of 1.65×10−10 m1.65 \times 10^{-10} \mathrm{~m}?

Studdy Solution

STEP 1

Assumptions1. The given wavelength of light is 1.65×10−10 m1.65 \times10^{-10} \mathrm{~m} . We need to convert this wavelength from meters to nanometers.

STEP 2

First, we need to know the conversion factor between meters and nanometers.1 meter is equal to 1×1091 \times10^9 nanometers.

STEP 3

Now, we can convert the wavelength from meters to nanometers using the conversion factor.
Wavelengthnm=Wavelengthm×Conversion factorWavelength_{nm} = Wavelength_{m} \times Conversion\, factor

STEP 4

Plug in the given values for the wavelength in meters and the conversion factor to calculate the wavelength in nanometers.
Wavelengthnm=1.65×10−10 m×1×109 nm/mWavelength_{nm} =1.65 \times10^{-10} \mathrm{~m} \times1 \times10^9 \mathrm{~nm/m}

STEP 5

Calculate the wavelength in nanometers.
Wavelengthnm=1.65×10−10×109=165 nmWavelength_{nm} =1.65 \times10^{-10} \times10^9 =165 \mathrm{~nm}The wavelength of the light in units of nanometers is165 nm.

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