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 of each orbital angular momentum? (c) What are possible values for the quantum number s and the magnitude of the spin angular momentum? (d) What are possible values for the quantum number ms and the magnitude of the z component of the spin angular momentum. (e) What does it mean for an energy level to be degenerate? And what is the degeneracy of this excited state?

Expert Solution

Cheers

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 atom emits a photon when its electron falls from its 3rd excited state (?=4)...

A hydrogen atom emits a photon when its electron falls from its 3rd excited state (?=4) to its first excited state (?=2). Another electron in a box with sides of infinite potential absorbs the photon and jumps from the ground state (?=1) to the 5th excited state (?=6). a. [2] What is the wavelength of the emitted photon? (Calculate this, don’t just look it up) b. [3] What is the length of the box? c. [3] Using the fact that...

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 a single electron in an excited hydrogen atom is occupying the 3rd energy level and...

If a single electron in an excited hydrogen atom is occupying the 3rd energy level and then relaxes back to the ground state, how much energy is released in the form of electromagnetic radiation?

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.

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.

A hydrogen atom (Z = 1) is in the fourth excited state, and a photon is...

A hydrogen atom (Z = 1) is in the fourth excited state, and a photon is either emitted or absorbed. Concepts: (i) What is the quantum number of the fourth excited state? 12 345 (ii) When an atom emits a photon, is the final quantum number nf of the atom greater than or less than the initial quantum number ni? greater thanless than (iii) When an atom absorbs a photon, is the final quantum number nf of the atom greater than...

In the Bohr model of the hydrogen atom, an electron in the 7th excited state moves...

In the Bohr model of the hydrogen atom, an electron in the 7th excited state moves at a speed of 4.47 104 m/s in a circular path of radius 2.59 10-9 m. What is the effective current associated with this orbiting electron? .....mA

An electron (in a hydrogen atom) in the n=5 state drops to the n=2 state by...

An electron (in a hydrogen atom) in the n=5 state drops to the n=2 state by undergoing two successive downward jumps. What are all possible combinations of the resulting photon wavelengths?

Question