What is the frequency of radiation whose wavelength is 0.80 nm ? express the frequency in inverse seconds to three significant digits?

Taking into account the definition of wavelength, frecuency and propagation speed, the frequency of radiation whose wavelength is 0.80 nm is 3.75×10¹⁷ s⁻¹.

First of all, wavelength (λ) is the minimum distance between two successive points on the wave that are in the same state of vibration. It is expressed in units of length (m).

On the other side, frequency (f) is the number of vibrations that occur in a unit of time. Its unit is s⁻¹ or hertz (Hz).

The propagation speed is the speed with which the wave propagates in the medium, that is, it is the magnitude that measures the speed at which the wave's disturbance propagates along its displacement. The propagation speed relates the wavelength (λ) and the frequency (f) by:

v=f× λ

Electromagnetic waves propagate in a vacuum at a constant speed of 3×10⁸ m/s, the speed of light. Due to the little difference that exists between the speed of propagation in a vacuum and in air, it is considered that in air they propagate at that speed as well.

So, in this case, you know:

Replacing in the expresion for propagation speed:

3×10⁸ m/s= f× 0.80×10⁻⁹ m

Solvign:

f= 3×10⁸ m/s÷ 0.80×10⁻⁹ m

f= 3.75×10¹⁷ s⁻¹

Finally, the frequency of radiation whose wavelength is 0.80 nm is 3.75×10¹⁷ s⁻¹.

Learn more:

-first use of geothermal energy occurred more than 10,000 years ago in north america by american paleo-indians

-the first industrial use of geothermal energy began near pisa, italy in late 18th century

-in 1904, italian scientist piero ginori conti invented the first geothermal electric power plant in which steam was used to generate the power

-with the above experiment, the first geothermal plant in usa started in 1922 with a capacity of 250 kilowatts

-however, in 1946 first ground-source geothermal heat pump installed at commonwealth building in portland, oregon

-during the 1960’s, pacific gas and electric began operation of first large scale geothermal power plant in san francisco, producing 11 megawatts

-in 1973, when oil crisis began many countries began looking for renewable energy sources and by 1980’s geothermal heat pumps (ghp) started gaining popularity in order to reduce heating and cooling costs

-as effect of climate change started showing results, governments of various countries joined hands to fight against it, for which kyoto protocol was signed in japan in 1997, laid out emission targets for rich countries and required that they transfer funds and technology to developing countries, 184 countries have ratified it

hope this