Consider a de-excitation of Hydrogen from an excited state n = 3 to the ground state...

Consider a de-excitation of Hydrogen from an excited state n = 3 to the ground state n = 1. The transition to a lower energy state will cause the atom to emit a photon. Due to momentum conservation, the atom will have a small recoil velocity. Determine an expression of the recoil velocity of the hydrogen atom, and compute its numerical value. Do not leave ΔE or the photon frequency f in your answer! Note that the atom is non-relativistic.

Expert Solution

genius_generous answered 2 years ago

An electron in a hydrogen atom is excited from the n = 1 ground state to the n = 4 excited state

An electron in a hydrogen atom is excited from the n = 1 ground state to the n = 4 excited state. Classify the statements about this absorption and emission process as true or false. True On average, the electron is closer to the nucleus in the n = 4 state than in the n = 1 state. The wavelength of light absorbed when the electron is excited from the ground state to n = 4 is the same as the wavelength of...

A hydrogen electron, initially in its second excited state (n=3), jumps down to the ground state...

A hydrogen electron, initially in its second excited state (n=3), jumps down to the ground state n=1. The energy of n=1 state is -13.6 eV. A) What is the energy of the photon emitted from this jumping down process? ( I got 12.08889eV) B) Is this emitted photon energetic enough to create photoelectrons from Ni( Ni working function is 5 eV)? C) If this emitted photon (from the jump down from n=3 to n=1) is reabsorbed by a hydrogen electron...

A hydrogen atom stays in the 3rd excited state (n = 4). Consider of the quantum...

A hydrogen atom stays in the 3rd excited state (n = 4). Consider of the quantum behavior of the electron, but ignore the quantum behavior of the nucleus. (a) What are the possible values for the quantum number l and what are the corresponding orbitals? Write down the magnitude of each orbital angular momentum (in units of ħ). (b) For each value of l, what are possible values for the quantum number ml and the magnitude of the z component...

A hydrogen atom is in its second excited state, n = 3. PART A Using the...

A hydrogen atom is in its second excited state, n = 3. PART A Using the Bohr model of hydrogen, find the linear momentum. PART B Using the Bohr model of hydrogen, find the angular momentum of the electron in this atom.

A hydrogen atom is in its second excited state, n = 3. Using the Bohr model...

A hydrogen atom is in its second excited state, n = 3. Using the Bohr model of hydrogen, find the linear momentum. Using the Bohr model of hydrogen, find the angular momentum of the electron in this atom.

An Electron initially in the n=2 state of a hydrogen atom is excited by a photon...

An Electron initially in the n=2 state of a hydrogen atom is excited by a photon to the n=5 state. a. What is the energy of the excitatoin photon? b. As the atom relaxes, the electron transitions to the ground state. What is the energy of the photon released during the electron transition? c. What is the frequency of the released photon? d. What is the name of the scientist who first modeled the atom as a miniature solar system?

If elements carbon through neon are in the ground state and are excited the first excited...

If elements carbon through neon are in the ground state and are excited the first excited state, give the electron configuration for the state of the one excited electron. Solution: C: N: O: F: Ne:

What is the difference between the ground state of an atom and an excited state of...

What is the difference between the ground state of an atom and an excited state of an atom? Drag the terms on the left to the appropriate blanks on the right to complete the sentences. The ground state The excited state 1. ___________ is when an electron occupies an unstable higher energy orbital. 2. __________ is the lowest energy state of an atom in which all electrons are in the lowest possible energy orbital.

Consider n=3 state |3,l,j,?? 〉 of the hydrogen atom. Find the energy of each state under...

Consider n=3 state |3,l,j,?? 〉 of the hydrogen atom. Find the energy of each state under weak-field Zeeman splitting for n=3 level of the hydrogen and show them on a diagram. (no need to find the energy spectrum of the state with fine structure.)

a. A hydrogen atom in the n=5 state decays to the n=3 state. What is the...

a. A hydrogen atom in the n=5 state decays to the n=3 state. What is the wavelength of the photon that the hydrogen atom emits? Use hc=1240 nm eV. nm b. While in the first excited state, a hydrogen atom is illuminated by various wavelengths of light. What happens to the hydrogen atom when illuminated by each wavelength? 486.3 nm? 491.3 nm? 335.1 nm? For each wavelength pick from the following choices: "stays in n=2 state" , "jumps to n=3...

Question