anonymous
  • anonymous
If a beam of light from a He-Ne laser has wavelength 543 nm in air, what is its wavelength in water? The index of refraction for water is 1.33. 722 nm , 408 nm , 540 nm , or 360 nm ?
Physics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Michele_Laino
  • Michele_Laino
the light speed v in water is: \[v = \frac{c}{n}\]
Michele_Laino
  • Michele_Laino
n is the refractive index of water
anonymous
  • anonymous
ok! what can we plug in? :/

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Michele_Laino
  • Michele_Laino
we can write this: \[{\lambda _2}\nu = \frac{{{\lambda _1}\nu }}{n}\]
Michele_Laino
  • Michele_Laino
since the frequency is the same inside those two mediums, then we have: \[\Large {\lambda _2} = \frac{{{\lambda _1}}}{n}\] where \lambda_1=543 nm, and \lambda_2 is the requested wavelength
anonymous
  • anonymous
okay! so we plug in 543/n? what is n?
Michele_Laino
  • Michele_Laino
n=1.33
anonymous
  • anonymous
so we get 408? 408 nm is our solution?
Michele_Laino
  • Michele_Laino
\[\Large {\lambda _2} = \frac{{{\lambda _1}}}{n} = \frac{{543}}{{1.33}} = ...\]
Michele_Laino
  • Michele_Laino
yes! That's right!
anonymous
  • anonymous
yay!! thank you:)
Michele_Laino
  • Michele_Laino
:)

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