Respuesta :
The energy of the photons is [tex]4.56 \times 10^{-19} Joules[/tex]
Energy of Photons
The formula for calculating the energy of photons is expressed as:
[tex]E = \frac{hc}{\lambda}[/tex]
where
- h is the Plank constant
- c is the speed of light
- λ is the wavelength
Substitute the values into the formula to have:
[tex]E=\frac{6.63 \times 10^{-34}\times 3.0 \times 10^8}{4.36 \times 10 ^ {-7}} \\E=4.56 \times 10^{-19} Joules[/tex]
Hence the energy of the photons is [tex]4.56 \times 10^{-19} Joules[/tex]
Learn more on energy of photons here; https://brainly.com/question/7464909
This question involves the concepts of Plank's Law.
The energy of the photons in Joules is "4.56 x 10⁻¹⁹ J".
PLANK'S LAW
According to Plank's Law, the energy of the photons is directly proportional to the frequency of those photons. Mathematically,
E = hν
where,
- E = energy of photons = ?
- h = Plank's constant = 6.625 x 10⁻³⁴ J.s
- ν = frequency = [tex]\frac{c}{\lambda}[/tex]
- c = speed of light = 3 x 10⁸ m/s
- λ = wavelength = 436 nm = 4.36 x 10⁻⁷ m
Therefore,
[tex]E = h\nu = \frac{hc}{\lambda}\\\\E=\frac{(6.625\ x\ 10^{-34}\ J.s)(3\ x\ 10^8\ m/s)}{4.36\ x\ 10^{-7}\ m}[/tex]
E = 4.56 x 10⁻¹⁹ J
Learn more about Plank's Law here:
https://brainly.com/question/24947800