The wavelength of the light emitted by atomic hydrogen, according to Balmer's formula with m = 3 and n = 8, is approximately 384 nm. So, the correct option is C.
According to Balmer's formula, the wavelength of the light emitted by atomic hydrogen can be calculated using the equation:
1/λ = R(1/m² - 1/n²)
Where λ is the wavelength, R is the Rydberg constant (approximately 1.097 x 10^7 m⁻¹), m is the initial energy level, and n is the final energy level.
In this case, m = 3 and n = 8. Plugging these values into the formula, we have:
1/λ = R(1/3² - 1/8²)
1/λ = R(1/9 - 1/64)
1/λ = R(55/576)
λ = 576/55 * 1/R
Substituting the value of the Rydberg constant, we get:
λ = 576/55 * 1/(1.097 x 10^7)
λ ≈ 3.839 x 10⁻⁷ meters
λ ≈ 384 nm
Therefore, the answer is option C) 384nm.
Learn more about wavelength at https://brainly.com/question/24452579
#SPJ11