Wavelength lambda = 550 nanometers.
Wavelength lambda = 550*10-9 metres
c = 299792458 m/s.
Frequency f = c / lambda = 299792458 / (550*10-9) = 5.45077*1014 Hz
~599.584916 terahertz
Basic formula
Frequency (In Hertz) = 300,000,000 ÷ Wavelength (In meters)
300,000,000 look familiar? Speed of Light in meters per second
500 nanometer = .5 micrometers = 5.0e-7 meter
Frequency (In Hertz) = 300,000,000 ÷ 5.0e-7 meter
599.584916 terahertz (1e+12 hertz) = (.5) wavelength in micrometers
Use the equation c = fλ where f is the frequency and λ is the wavelength. The speed of light is 3x10^8ms^-1.
Hence...
f = c/λ = (3x10^8)/(5.5x10^-7) = 5.45x10^14Hz
MAKE SURE THAT you get your units right, meaning that all the data is in meters, seconds, etc.
! :D
Worked with a TI-89
c = 3.00 x 10EE8
The above value is appropriate value to use in calculations.
f = v/lambda = (3.00 x 10EE8)/(450 x 10EE-9) = 6.67 x 10EE14
Electromagnetic waves exist at many frequencies other than the rather limited range that our eyes detect. GRC
c = lambda x nu
speed of light (c) = wavelength x frequency
frequency = speed of light/wavelenth
frequency = (3x10^8 m/sec) / (5.88x1-0^-7 m)
frequency = 5.1x10^14 sec^-1
Wavelength is related to frequency by the equation c = frequency time wavelength, where c is the speed of light. This frequency is then 5.451 E14 hertz.
Frequency = speed/wavelength = 3 x 108/595 x 10-9 = 5.042 x 1014 Hz
That's 504 Terahertz = 504,000 GHz = 504,000,000 MHz .
Just convert the wavelength to meters, then divide the speed of light (about 300,000,000 meters/second) by the wavelength. The answer will be in hertz.
5.415E14
Hz
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because that's the way it is....
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