The frequency of energy level transition is 2.34 x 10¹⁴ Hz with wavelength of 1.28 x 10‾⁶ m
From Niels Bohr atom model, the electron will orbit according to its energy level. The energy level of electron can be defined as
En = (-13,6/n²) eV
where En is energy level, n is number of state.
From the question above, we know that:
n2 = 3
n1 = 5
Hence, the energy of transition is
ΔE = E3 - E5
ΔE = -13,6(1/3²-1/5²) eV
ΔE = -13,6(1/3²-1/5²) eV
ΔE = -0.967 eV
The frequency and wavelength can be determined as
E = h . f = h . c . λ
where h = 4.1357 × 10‾¹⁵ eVs
c = 3 x 10⁸ m/s
Then we can find the frequency of transition energy
h . f = -0.967 eV
4.1357 × 10‾¹⁵ eVs = -0.967 eV
f = 2.34 x 10¹⁴ Hz
and the wavelenth is
λ = c / f
λ =( 3 x 10⁸ )/( 2.34 x 10¹⁴)
λ = 1.28 x 10‾⁶ m
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