An excited hydrogen atom emits light with a wavelength of 397.2 nm to reach the energy level fo

step 1 All right, guys. We're doing problem sending for chapter seven. So I excited. Hydrogen atom emit

An excited hydrogen atom emits light with a wavelength of...

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Key Concepts

Principal Quantum Number

The principal quantum number denotes the main energy level of an electron in an atom. It is a positive integer that indicates the electron's shell and its relative distance from the nucleus. Higher principal quantum numbers correspond to higher energy levels and larger orbital sizes.

Electron Transitions in Hydrogen Atom

Electron transitions refer to the process in which an electron moves between different energy levels, emitting or absorbing a quantum of energy in the form of light. In hydrogen, when an electron drops from a higher to a lower energy level, the energy difference is released as a photon whose wavelength is characteristic of that specific transition.

Rydberg Formula

The Rydberg formula is used to calculate the wavelengths of light emitted or absorbed during electron transitions in hydrogen atoms. It relates the inverse of the wavelength to the difference of the inverses of the squares of the initial and final principal quantum numbers. This formula is fundamental in understanding and predicting the spectral lines observed in hydrogen.

Transcript

00:01 All right, guys.

00:01 We're doing problem sending for chapter seven.

00:03 So i excited.

00:04 Hydrogen atom emits light, willful wavelength of 33 97.2.

00:09 Nana, meters three.

00:10 See angela, for which an equals two.

00:13 And what principle quite in love with the electron begins, we're gonna use a rib burger equation one over lambda as equal to our times, one over and two square miles, one over and one squared.

00:22 Where lam does waveland ours, the redbird constant and two is going to be, and two is going to be, ah, where we end up and and one is our initial initial energy level.

00:36 German sulfur and one so we're going to bring over are so one over atlanta are is equal to one, but i don't need parentheses.

00:54 One over and two squared minus one over n one squared.

01:06 So now we're gonna bring over one over an eye, and one squared is gonna equal one over and and tooth word minus one oprah land are they were gonna take the reciprocal and then take the square root.

01:32 So we're gonna have and one squared is going to be equal to one over and to swerve minus hi are it's gonna be negative one.

01:48 And then we got.

01:50 And one is we're gonna take square ragusa both sides.

01:53 So one over and two squared.

01:57 Nice one over.

01:58 Pi r is going equal...

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