Converting Wavelength to Nanometers

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SUMMARY

The discussion focuses on converting a frequency of 2.8 x 1014 Hz into wavelength measured in nanometers. The correct formula used is λ = c / f, where c is the speed of light (approximately 3 x 108 m/s). The calculated wavelength is 1.07 x 10-6 m, which is equivalent to 1070 nm. The conversion process and the significance of significant figures in the answer were also emphasized.

PREREQUISITES
  • Understanding of the wave equation λ = c / f
  • Knowledge of the speed of light (c = 3 x 108 m/s)
  • Familiarity with scientific notation
  • Basic skills in unit conversion, specifically between meters and nanometers
NEXT STEPS
  • Learn about the relationship between frequency and wavelength in electromagnetic waves
  • Study the concept of significant figures in scientific calculations
  • Explore the implications of wavelength in different regions of the electromagnetic spectrum
  • Investigate tools for performing unit conversions efficiently
USEFUL FOR

Students in physics or engineering, educators teaching wave mechanics, and anyone needing to perform frequency-to-wavelength conversions in scientific contexts.

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Homework Statement



i just need to convert 2.8*1014 into nano meters


Homework Equations



[tex]\lambda[/tex] = v / f



The Attempt at a Solution



[tex]\lambda[/tex] = v / f

[tex]\lambda[/tex] = 2.0*108 / 700*10-9 (nanometers)

[tex]\lambda[/tex] = 2.8*1014

i am backwards on my conversion, i am horrible at it.

is it:

A - 2.80000000 nm

or

B - .00000028 nm

it wants my answer to three sig fig's
 
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I'm guessing it's a frequency of 2.8^14 hz the OP wants to convert into a wavelegnth.

wavelength * frequency = speed.
so wavelength = c/f = 3e8 m/s / 2.8E14 /s = 1.07e-6m = 1070 e-9m
 
yes that got the first problem correct.

thanks
 

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