The SI unit of length is the meter, which is defined as the length equal to 1,650,763.73 wavelengths of the light emitted by a particular energy transition in krypton atoms. Calculate the frequency of the light to three significant figures.

Respuesta :

Answer:

Frequency of light [tex]=4.95\times 10^{14} \ Hz[/tex]

Explanation:

We have been given only.

Wavelength [tex]\lambda = 1,650,763.73\ m[/tex]

And have to find the frequency  [tex]\nu[/tex] that is [tex]\nu=\frac{speed\ of\ the \ light\ (c)}{wavelength(\lambda)}[/tex]

And speed of the light [tex]=2.998\times 10^{8}\ ms^{-1}[/tex].

And now we have to convert the wavelength in terms of [tex]meters\ (m)[/tex].For this we know that,

In one meter there are [tex]1,650,763.73[/tex] wavelengths of radiation. So each wavelength is [tex]\frac{1(m)}{1,650,763.73}=6.058\times 10^{-7} m=(605.8\ nm)[/tex].

Plugging the values of wavelength and speed of light.

We have frequency,[tex](\nu)= \frac{2.998\times 10^8}{6.058\times 10^-7} =4.948827996\times 10^{14}[/tex] Hertz

Finally the frequency of light up to three significant figures = [tex]4.95\times 10^{14}\ Hz[/tex]