Answer:
The initial energy level = 6
Explanation:
Photon wavelength is proportional to energy. The wavelength of emitted photons is related to the energy levels of the atom as given by the Rydberg formula:
ₕ₁₂
(1/λ) = Rₕ [(1/n₂²) − (1/n₁²)]
where n₂ = final energy level = 2
n₁ = initial energy level = ?
Rₕ = Rydberg's constant = 1.097 × 10⁷ m⁻¹
λ = wavelength = 410 nm = 410 × 10⁻⁹ m
1/(410 × 10⁻⁹) = (1.097 × 10⁷) [(1/2²) − (1/n₁²)]
0.223 = [(1/4) − (1/n₁²)]
(1/n₁²) = 0.02778
n₁² = 1/0.02778 = 36
n₁ = 6.
