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Ryan B
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Homework Statement
Q: An electromagnetic radiation has a frequency of 5.00 x 10^14 Hz.
a) Calculate its wavelength in a vacuum, in meters and nanometers.
b) Calculate its wavelength in water.
c) Is this radiation visible? If so, what is its colour?
d) What is the index of refraction of a medium in which the speed of this radiation
is 2.54 x 10^8 m/s?
e) Where would you encounter this radiation in your daily life?
I just need help with e)
Homework Equations
The Attempt at a Solution
10. An electromagnetic radiation has a frequency of 5.00 x 1014 Hz.
a) Calculate its wavelength in a vacuum, in meters and nanometers.
Given: The speed of light in a vacuum is 3.00 x 108 m/s.
Required: the wavelength of electromagnetic radiation, that has a frequency of 5.00 x 1014 Hz, in a vacuum, in meters and nanometers.
Analysis: c=(f)(wavelength{vac}) and c=(n)(wavelength{med})
Therefore wavelength(vac) = (n)(wavelength{med}) and wavelength(med) = wavelength(vac)/n
Solution: λ = (3.00 x 108 m/s) / (5.00 x 1014 Hz)
Λ = 6.00 x 10-7 m or 600nm
b) Calculate its wavelength in water.
Given: wavelength = 0.6 x 10^-6m or 600nm
n = 1.33 for water
Required: wavelength(med)
Analysis: c=(f)(wavelength{vac}) and c=(n)(wavelength{med})
therefore wavelength(vac) = (n)(wavelength{med}) and
wavelength(med) = wavelength(vac)/n
Solution: wavelength(med) = (0.6 x 10^-6m)/1.33
= 4.51 x 10^-7 or 451 nm
Phrase: The wavelength in water of an electromagnetic radiation, that has a frequency of 5.00 x 1014 Hz, is 451 nm
c) Is the radiation visible? If so, what is its colour?
Yes, the radiation is visible as orange (in a vacuum), since orange has a range of 590nm to 610nm on the spectrum and violet (in water), since violet has a range of 400nm – 450nm.
d) What is the index of refraction of a medium in which the speed of this radiation is 2.54 x 108 m/s?
Given:
Speed of light: 3.00 x 108 m/s
Speed of radiation in the medium: 2.54 x 108 m/s
Required: the index of refraction.
Analysys: n = speed of light in a vacuum/speed of light in a medium
Solution: n = (3.00 x 108 m/s)/(2.54 x 108 m/s)
n = 1.18
e) Where would you encounter this radiation in your daily life?
The only searches that come back to me are bronze...HELP!