Answer:
The approximate energy of one photon is [tex]E=4*10^{-19}J[/tex]
Explanation:
1. The energy of the photon can be related with the wave frequency, with the Planck-Einstein relation, that is:
[tex]E=h*f[/tex]
where h is the Planck constant and f is the frequency.
But the frequency f, can be expressed as:
[tex]f=\frac{c}{wavelentgth}[/tex]
where c is the speed of light.
So the Planck-Einstein relation can be written as:
[tex]E=\frac{h*c}{wavelength}[/tex]
2. Replacing values:
[tex]E=\frac{h*c}{wavelength}[/tex]
[tex]E=\frac{6.626*10^{-34}\frac{kg.m^{2}}{s}*3*10^{8}\frac{m}{s}}{5.1*10^{-7}m}[/tex]
[tex]E=4*10^{-19}\frac{kg.m^{2}}{s^{2}}[/tex]
[tex]E=4*10^{-19}J[/tex]
The energy of the light is 4 x 10^-19 J.
From the formula;
E = hc/λ
Note that;
h = Plank's constant = 6.6 × 10^-34 Js
c = speed of light = 3 × 10^8 m/s
λ = wavelength of light = 510 nm or 510 × 10^-9 m
Substituting values, we have;
E = 6.6 × 10^-34 Js × 3 × 10^8 m/s/510 × 10^-9 m
E = 4 x 10^-19 J
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