Question 6 How far from the nucleus in angstroms (1A1 x 10'') is the electron in...
How far from the nucleus in angstroms (1 angstrom = 1 10–10 m) is the electron in a hydrogen atom if it has an energy of –8.7210–20 J? The radius of the orbital (r) = n2 a0/Z (n is the quantum number of an orbital, a0 is the Bohr radius with a value of 5.292×10−11 m, Z is the nuclear charge). Hint: figure out n first and the radius of the orbital is the distance.
In the Bohr model of the hydrogen atom, an electron orbits a proton (the nucleus) in a circular orbit of radius 0.52x10-10 m. (a) What is the electric potential at the position of the electron's orbit due to the proton? (b) What is the kinetic energy of the electron? Express the result in eV and J. (c) What is the total energy of the electron in its orbit? Express the result in eV and J. (d) What is the ionization...
In the Bohr model of the hydrogen atom, an electron orbits a proton (the nucleus) in a circular orbit of radius 0.52x10-10 m. (a) What is the electric potential at the position of the electron's orbit due to the proton? (b) What is the kinetic energy of the electron? Express the result in eV and J. (c) What is the total energy of the electron in its orbit? Express the result in eV and J. (d) What is the ionization...
Question #1 Hydrogen atom consists of one electron and one proton. In the Bohr model of the Hydrogen atom, the electron orbits the proton in a circular orbit of radius 0.529 E-10 m. This radius is known as the Bohr Radius. Calculate the smallest amount of kinetic energy the electron must have in order to leave its circular orbit and move to infinity far from the proton? Question #2 The potential in a region between x = 0 and x...
2. In the derivation of the energy levels in the hydrogen atom one commonly assumes that the nucleus is a point charge. However, in reality the size of the nucleus is of the order of Im = 10-15m. Since this is very much smaller than the typical distance of the electron from the nucleus, which is of the order of a0-0.5A = 0.5 × 10-10m, the finite size of the nucleus can be taken into account perturbatively. (a) Assume that...
05 Question (4 points) When a hydrogen atom absorbs a photon of electromagnetic radiation (EMR), the internal energy of the atom increases and one or more electrons may be energized into an excited state. The release of this extra energy as the excited state electron transitions back to a lower energy state results in the emission of a photon. These energy changes are responsible for the emission spectrum of hydrogen (shown below) and are described by the Bohr equation. AE...
Question 10 1 pts Calculate the energy in electron volts (eV) for an electron to transition from the n-2 shell to the n = 3 shell in a hydrogen atom. 1 joule (J) - 6.242 x 1018 electron volts (V)
6. 3 points In Bohr's model of the hydrogen atom, the electron travels with speed u= 2.2 x 106 m/s in a circle with radius r 5.3 × 10-11 m about the nucleus. Find the magnitude of the magnetic field B at the nucleus due to the electron's motion. 6. 3 points In Bohr's model of the hydrogen atom, the electron travels with speed u= 2.2 x 106 m/s in a circle with radius r 5.3 × 10-11 m about...
An electron in a hydrogen atom absorbs 9.18 x 10 -20 J of energy. If the electron originated at energy level 4, to what level was it excited?
An electron in a hydrogen atom absorbs 4.91 x 10 -20 J of energy. If the electron originated at energy level 4, to what level was it excited?