Answer:
Option D is correct.
n = 6 to n = 2
Step-by-step explanation:
Like all waves emitted from the movement of electrons from one energy level to another, the wavelength (λ) is given by the equation involving Rydberg's constant
(1/λ) = Rₕ [(1/n₂²) - (1/n₁²)]
where Rₕ = 10973731.57 m⁻¹ = (1.0974 × 10⁷) m⁻¹
n₂ = principal quantum number corresponding to the final energy level of the electron = 2 (For Balmer Series)
n₁ = principal quantum number corresponding to the final energy level of the electron = ?
λ = 410 nm = (410 × 10⁻⁹) m
(1/λ) = (2.439 × 10⁶) m⁻¹
2.439 × 10⁶ = (1.0974 × 10⁷) [(1/2²) - (1/n₁²)]
0.25 - (1/n₁²) = (2.439 × 10⁶) ÷ (1.0974 × 10⁷) = 0.2222602562
(1/n₁²) = 0.25 - 0.2222602562 = 0.0277397438
n₁² = (1/0.0277397438) = 36.05
n₁ = 6
Hope this Helps!!!