How can you directly find the Rydberg constant in this lab?

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When approaching how to directly find the Rydberg constant in this lab, we must evaluate what each measurement or graph feature represents and how it relates to the energy levels and spectral lines involved.
Option 1: 'From the temperature of the light.' Temperature of the light does not encode the Rydberg constant. The Rydberg constant is a fundamental physical constant tied to atomic transitions, not a property like the temperature of the emitted photons. Therefore this choice misattributes a thermodynamic property to a quantum-mechanical constant.
Option 2: 'From the intensity of the peaks in the spectrum.' The intensity of spectral lines relates to transition probability, population of energy levels, or instrument response, but not to the value of the Rydberg constant itself. It might affect peak height, but it does not determine the constant’s numeric value.
Option 3: 'From the y-intercept of your graph.' In this lab setup, plotting a relationship that links measured wavelengths (or wavenumbers) to something like 1/λ or another linear proxy often yields a straight line whose intercept contains the constants of interest, including the Rydberg constant. The intercept can carry the baseline offset tied to the inverse wavelength scale, making it a direct route to extract the constant.
Option 4: 'From the wavelength correction for the spectrometer.' Wavelength correction accounts for systematic instrument offsets to align measured wavelengths with true values, but it does not itself provide the numeric value of the Rydberg constant. It improves accuracy, yet the constant is not obtained solely from those correction terms.

CHEM 1030 B1 & B2 Pre-lab Quiz #3 - Emission Spectra of Atomic Hydrogen

How can you directly find the Rydberg constant in this lab?

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