Calculate the wavelength,in nm,of the first line of the Balmer series.The constant for Balmer's equation is 3.2881 × 10¹⁵ s^-1. A)18.3 nm B)656 nm C)547 nm D)152 nm E)252 nm

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Quizplus · Accepted Answer

The first line of the Balmer series corresponds to the transition of an electron from the n=3 level to the n=2 level in a hydrogen atom. The wavelength can be calculated using the Rydberg formula: $ \lambda = \frac{1}{R \left( \frac{1}{2^2} - \frac{1}{3^2} \right)} $, where $ R = 3.2881 \times 10^{15} $ Hz is the Rydberg constant. Plugging in the values, we find the wavelength to be approximately 656 nm.

Calculate the Wavelength,in Nm,of the First Line of the Balmer