contestada

Green light has a wavelength of 550nm. What is the frequency of a photon of green light?

Respuesta :

Answer:- Frequency is [tex]5.4*10^1^4Hz[/tex] .

Solution:- frequency and wavelength are inversely proportional to each other and the equation used is:

[tex]\nu =\frac{c}{\lambda }[/tex]

where, [tex]\nu [/tex] is frequency, c is speed of light and [tex]\lambda [/tex] is the wavelength.

Speed of light is [tex]3.0*10^8m/s[/tex] .

We need to convert the wavelength from nm to m.

( [tex]1nm=10^-^9m[/tex] )

[tex]550nm(\frac{10^-^9m}{1nm})[/tex]

= [tex]5.5*10^-^7m[/tex]

Now, let's plug in the values in the equation to calculate the frequency:

[tex]\nu =\frac{3.0*10^8m.s^-^1}{5.5*10^-^7m}[/tex]

= [tex]5.4*10^1^4s^-^1[/tex] or [tex]5.4*10^1^4Hz[/tex]

since, [tex]1s^-^1=1Hz[/tex]

So, the frequency of the green light photon is [tex]5.4*10^1^4Hz[/tex] .