Respuesta :
Answer:
E = 2.9651 10⁻¹⁹ J = 1.853 eV
Explanation:
The energy of an atomic state is given by the resolution of the Schrödinger equation, in general with many approximations, but in the first approximation the Bohr model gives acceptable results. The transition occurs when the electron passes from one level to another, this transition can be calculated with the Planck equation
E = h f
As the speed of light is given by
c = λ f
f = c /λ
The Planck equation is
E = h c /λ
Let's reduce the wavelength to the SI system
λ = 670.8 nm (1 m / 10⁹ nm) = 670.8 10⁻⁹ m
Let's calculate
E = 6.63 10⁻³⁴ 3 10⁸ / 670.8 10⁻⁹
E = 2.9651 10⁻¹⁹ J
Let's reduce to eV, it is a unit more used to express the energy of atomic transitions
E = 2.9651 10⁻¹⁹ J (1 eV / 1.6 10⁻¹⁹J)
E = 1.853 eV
