(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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)

2. Relevant equations

3. 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!

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# Homework Help: From the nature of light unit

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