What is the wavelength in nanometers of ultraviolet light in the Balmer series corresponding to a value of n = 8?

Rydberg constant, R = 1.097 × 10⁷ m⁻¹ = 1.097 × 10⁻² nm⁻¹
n₁ = 2 (for Balmer series) and n₂ = 8

Rydberg equation: 1/λ = R [(1/n₁²) - (1/n₂²)]
Then, λ = 1 / {R [(1/n₁²) - (1/n₂²)]}

Wavelength, λ
= 1 / {1.097 × 10⁻² × [(1/2²) - (1/8²)] nm
= 388.9 nm