Calculate the wavelength of the spectral line in the spectrum of hydrogen for which n₁ = 1 and n₂ = 3.Hint: Use the Rydberg equation to solve.

Question

Quizplus · Accepted Answer

The Rydberg equation for hydrogen is 1/λ = R_H (1/n1² - 1/n2²), where R_H is the Rydberg constant (1.097 x 10^7 m^-1). For n1 = 1 and n2 = 3, 1/λ = 1.097 x 10^7 (1/1² - 1/3²) = 1.097 x 10^7 (1 - 1/9) = 1.097 x 10^7 (8/9). Solving for λ gives approximately 103 nm.

Calculate the Wavelength of the Spectral Line in the Spectrum