Mystery element X has the electron energy levels shown in the figure below, in which E₁ = -9.1 eV, E₂ = -4.2 eV, and E₂ = -2.8 ev. The dashed line is not an energy level, but rather just shows the location of zero energy. 0 eV n=3 E3 n=2 E₂ n=1 E₁ (a) How much energy does it take to ionize, or remove, an electron that is in the ground state of this atom? 9.1 ✔ ev (b) There is one transition in the emission spectrum that will not be observed in the absorption transition. What is the (positive) energy of this transition? 7 x ev (c) What is the wavelength of the photon emitted in this transition? 1970 x nm (d) Now consider the absorption spectrum. What is the energy of the transition in the absorption spectrum that has the shortest wavelength? HINT: Identify the transitions that occur in the absorption spectrum and then think about how energy and wavelength are related. xev 4.9 (e) What is the wavelength of the photon that is absorbed in this transition? 2533 x nm (f) What type of light is this transition? O ultraviolet O visible Ⓒ infrared X
Quantum mechanics and hydrogen atom
Consider an electron of mass m moves with the velocity v in a hydrogen atom. If an electron is at a distance r from the proton, then the potential energy function of the electron can be written as follows:
Isotopes of Hydrogen Atoms
To understand isotopes, it's easiest to learn the simplest system. Hydrogen, the most basic nucleus, has received a great deal of attention. Several of the results seen in more complex nuclei can be seen in hydrogen isotopes. An isotope is a nucleus of the same atomic number (Z) but a different atomic mass number (A). The number of neutrons present in the nucleus varies with respect to the isotope.
Mass of Hydrogen Atom
Hydrogen is one of the most fundamental elements on Earth which is colorless, odorless, and a flammable chemical substance. The representation of hydrogen in the periodic table is H. It is mostly found as a diatomic molecule as water H2O on earth. It is also known to be the lightest element and takes its place on Earth up to 0.14 %. There are three isotopes of hydrogen- protium, deuterium, and tritium. There is a huge abundance of Hydrogen molecules on the earth's surface. The hydrogen isotope tritium has its half-life equal to 12.32 years, through beta decay. In physics, the study of Hydrogen is fundamental.
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