Respuesta :
Answer:
[tex]\Delat E=3.7\times 10^{-19}\ J[/tex]
Explanation:
The difference in energy between the two energy levels is given by :
[tex]\Delta E=\dfrac{hc}{\lambda}[/tex]
Where,
h is Planck's constant
c is speed of light
[tex]\lambda[/tex] is wavelength
So,
[tex]\Delta E=\dfrac{6.67\times 10^{-34}\times 3\times 10^8}{540\times 10^{-9}}\\\\\Delta E=3.7\times 10^{-19}\ J[/tex]
So, the energy difference is [tex]3.7\times 10^{-19}\ J[/tex].
The difference in energy between the two energy levels that is responsible for producing the green spectrum line is equal to [tex]3.68 \times 10^{-19}\; Joules[/tex].
Given the following data:
- Wavelength = 540 nm = [tex]540 \times 10^{-9} meters[/tex]
Speed of light = [tex]3 \times 10^8\;meters[/tex]
Planck constant = [tex]6.626 \times 10^{-34}\;J.s[/tex]
To determine the difference in energy between the two energy levels that is responsible for producing the green spectrum line, we would apply Einstein's equation for photon energy:
Mathematically, Einstein's equation for photon energy is given by the formula:
[tex]\Delta E = hf = h\frac{v}{\lambda}[/tex]
Where:
- [tex]\Delta E[/tex] is the change in energy.
- h is Planck constant.
- f is photon frequency.
- [tex]\lambda[/tex] is the wavelength.
- v is the speed of light.
Substituting the given parameters into the formula, we have;
[tex]\Delta E = \frac{6.626 \times 10^{-34} \;\times \;3.0 \times 10^{8}}{540 \times 10^{-9}} \\\\\Delta E = \frac{1.99 \times 10^{-25}}{540 \times 10^{-9}}\\\\\Delta E = 3.68 \times 10^{-19}\; Joules[/tex]
Note: [tex]1 \;nanometer = 1 \times 10^{-9} \;meter[/tex]
Read more: https://brainly.com/question/14593563
