What is the wavelength of the light emitted by atomic Hydrogen according to Balmer's formula with m = 3 and n = 8? A) 389nm B)955nm C)384nm D)1950

Answers

Answer 1

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.

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