In the hydrogen atom, what is the electric potential energy of the electron when it is found in the n = 3 state? Hint: refer to the derivation of the total energy for energy proportions.
For an electron revolving in a circular orbit of radius, r around a nucleus with Z positive charge,
PE = -Ze2/r
KE = Ze2/2r
Hence:
Etotal = (-Ze2/r) + (Ze2/2r) = -Ze2/2r
and
Since Z = 1 for hydrogen above equation can be further simplified to:
En = -13.6/n2 eV
so, potential energy is double of total energy with negative sign
En = -2x13.6/n2 eV
so, for n = 3
E3 = - 2x13.6/3^2 eV = -3.02 eV.............................ANS
In the hydrogen atom, what is the electric potential energy of the electron when it is...
7. In the hydrogen atom, what is the kinetic energy of the electron when it is found in the n 3 state? Hint: refer to the derivation of the total energy for energy proportions. eV
The electron in a hydrogen atom has a potential energy that is a function of the orbital radius U(r)=-ke2/r Calculate the expectation value of the potential energy of an electron in the first state of hydrogen.
Compute the change in energy of the 2p→ 1s photon when a hydrogen atom is placed in a magnetic field of 2.00 T. 2 III. (12pts) The electron of a hydrogen atom is excited to the n= 5 state. (a) what is the Bohr radius of the electron? (b) what is the total energy of the electron? (c) what is the electron’s Coulomb potential energy and kinetic energy? IV. (12pts) X-ray photons of wavelength 0.120 nm are incident on a...
4. When a hydrogen atom is bombarded, the atom may be raised into a higher energy state. As the excited electron falls back to the lower energy levels, light is emitted. What are the three longest-wavelength spectral lines emitted by the hydrogen atom as it returns to the n = 1 state from higher energy states? Give your answers to three significant figures. The lowest possible state, n = 1, corresponds to the electron in its smallest possible orbit; it...
Part A What is the change in energy ?E of the hydrogen atom as the electron makes the transition from the n=3 energy level to the n=1 energy level? Express your answer numerically in electron volts. Part B When an atom makes a transition from a higher energy level to a lower one, a photon is released. What is the wavelength of the photon that is emitted from the atom during the transition from n=3 to n=1? Express your answer...
III. (12pts) The electron of a hydrogen atom is excited to the n= 5 state. (a) what is the Bohr radius of the electron? (b) what is the total energy of the electron? (c) what is the electron's Coulomb potential energy and kinetic energy?
III. (12 pts) The electron of a hydrogen atom is excited to the n= 5 state. (a) what is the Bohr radius of the electron? (b) what is the total energy of the electron? (c) what is the electron's Coulomb potential energy and kinetic energy?
In the simple Bohr model of the hydrogen atom, an electron moves in a circular orbit of radius r = 5.30 × 10-11 m around a fixed proton. (a) What is the potential energy of the electron? (b) What is the kinetic energy of the electron? (c) Calculate the total energy when it is in its ground state. (d) How much energy is required to ionize the atom from its ground state?
For an electron in the n - 1 state of the hydrogen atom, calculate the total energy of the electron. (Express your answer to four significant figures.) times 10^-18J For an electron in the n - 1 state of the hydrogen atom, calculate the speed of the electron. (Express your answer to four significant figures.) times 10^6m/s For an electron in the n - 4 state of the hydrogen atom, calculate the angular moment. (Express your answer to four significant...
What is wavelength of a photon that would be emitted when a hydrogen atom makes a transition from the n = 3 to the n = 2 energy level? What is the longest wavelength photon that could ionize a hydrogen atom originally in its ground state? What processes might occur if an electron of energy 12.2 eV collides with a hydrogen atom at rest and in its ground state?