Use the Balmer equation to determine n for the spectral line of wavelength 434 nm. The constant for Balmer's equation is 3.2881 × 10¹⁵ s-1.

Question

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The Balmer equation relates the wavelength of light to the principal quantum numbers of the electron transitions in hydrogen. For the Balmer series, the final state is n=2. Using the formula 1/λ = R_H (1/2² - 1/n²), where R_H is the Rydberg constant (1.097 x 10^7 m^-1), and solving for n with λ = 434 nm, we find n = 5.

Use the Balmer Equation to Determine N for the Spectral