Respuesta :
We know that
Speed of light = wavelength X frequency
Energy of light = h X frequency
Where
h = planck's constant = 6.626 x 10–34 j·s
frequency = speed of light / wavelength = 2.998 x 10^8 m/s / 656.3 X 10^-9
frequency = 4.57 X 10^14 / s
Energy = 6.626 x 10–34 j·s X 4.57 X 10^14 / s = 3.028 X 10^-19 Joules
Answer:- Energy = [tex]3.03*10^-^1^9J[/tex] and frequency = [tex]4.57*10^1^4s^-^1[/tex] .
Solution:- The wavelength is given as 656.3 nm and it asks to calculate energy and frequency of a photon of this light. When the wavelength is given then the energy is calculated by using the equation:
[tex]E=\frac{hc}{\lambda }[/tex]
where, E is energy, h is planck's constant, c is speed of light and [tex]\lambda [/tex] is the wavelength.
Wavelength is given in nm and for calculations of energy we need it in m.
[tex]\lambda =656.3nm(\frac{10^-^9m}{1nm})[/tex]
[tex]\lambda =6.563*10^-^7m[/tex]
Let's plug in the values in the equation to calculate energy:
[tex]E=\frac{6.626*10^-^3^4J.s*2.998*10^8m.s^-^1}{6.563*10^-^7m}[/tex]
E = [tex]3.03*10^-^1^9J[/tex]
Frequency is calculated for the given wavelength using the equation:
[tex]\nu =\frac{c}{\lambda }[/tex]
let's plug in the values in the equation:
[tex]\nu =\frac{2.998*10^8m.s^-^1}{6.563*10^-^7m}[/tex]
[tex]\nu =4.57*10^1^4s^-^1[/tex]
So, the energy of the photon for given wavelength is [tex]3.03*10^-^1^9J[/tex] and the frequency is [tex]4.57*10^1^4s^-^1[/tex] .
