Wavelength Frequency (nm) Electron Ejected Electron Kinetic Energy (J) Laser (Hz) Energy (J) Intensity 400 nm 4.0 x 10^-7 m 7.5 x 10^ -14 Hz 0.5056 0.5056 x 10 ^_19 J 0.460 410 nm 0.2753 x 10^19 J 0.0522 7.3 x 10^ -14 Hz 0.2753 4.1 x 10^-7 m 420 nm 4.2 x 10^-7 m 7.14 x 10^ -14 Hz 0.2022 x 10^19 J 0.0500 0.2022 430 nm 6.9 x 10^ -14 Hz 0.1348 x 10^19 J 0.0478 4.3 x 10^-7 m 0.1348 440 nm 6.8 x 10^ -14 Hz 4.4 x 10^-7 m 0.08427 0.08427 x 10^19 J 0.0536
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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Make a graph of incident light wavelength vs. ejected electron kinetic energy from your data in the data table. Include a couple of the higher wavelength values that you observed. Graph the wavelength in nanometers on the x axis and the kinetic energy in *10-19 Joules (just plot the fractional part, not the power of ten) on the y-axis.
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