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Lecture 2: Hydrogen Atom Video Lecture | Quantum Mechanics for GATE - GATE Physics

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FAQs on Lecture 2: Hydrogen Atom Video Lecture - Quantum Mechanics for GATE - GATE Physics

1. What is the Schrödinger equation for the hydrogen atom?
Ans. The Schrödinger equation for the hydrogen atom describes the behavior of the electron in the atom. It is a partial differential equation that governs the wave function of the electron and determines the probabilities of finding the electron at different positions in the atom.
2. How many quantum numbers are needed to describe the energy levels of the hydrogen atom?
Ans. Four quantum numbers are needed to describe the energy levels of the hydrogen atom: the principal quantum number (n), the azimuthal quantum number (l), the magnetic quantum number (m), and the spin quantum number (s).
3. What is the significance of the Bohr radius in the hydrogen atom?
Ans. The Bohr radius is the average distance between the electron and the nucleus in a hydrogen atom when the electron is in its ground state. It is a fundamental constant in atomic physics and is used to describe the size of atoms and ions.
4. How does the energy of the electron in a hydrogen atom change as it transitions between energy levels?
Ans. When an electron transitions between energy levels in a hydrogen atom, it either absorbs or emits a photon of light. The energy of the photon is equal to the energy difference between the initial and final energy levels of the electron.
5. What is the significance of the fine structure constant in the hydrogen atom?
Ans. The fine structure constant, denoted by α, is a dimensionless constant that characterizes the strength of the electromagnetic interaction between charged particles. It plays a crucial role in determining the energy levels and spectral lines of the hydrogen atom.
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