The Lyman series for a (new?) one-electron atom is observed in a distant galaxy. The wavelengths of the first four lines and the short-wavelength limit of this Lyman series are given by the energy-level diagram. Based on this information, calculate (b) the longest-wavelength (alpha) lines and the short-wavelength series limit in the Balmer series for this atom.

Two hydrogen atoms, both initially in the ground state, undergo a head-on collision. If both atoms are to be excited to the $n=2$ level in this collision, what is the minimum speed each atom can have before the collision?

The Lyman series for a (new?) one-electron atom is observed in a distant galaxy. The wavelengths of the first four lines and the short-wavelength limit of this Lyman series are given by the energy-level diagram. Based on this information, calculate (a) the energies of the ground state and first four excited states for this oneelectron atom

A hydrogen atom is in its ground state. a. Explain the term ground state. b. Photons of energy 10.4 eV are directed at hydrogen gas in its ground state. Suggest what, if anything, will happen to the hydrogen atoms. c. In another experiment, a beam of electrons of energy 10.4 eV are directed at hydrogen gas atoms in their ground state. Suggest what, if anything, will happen to the hydrogen atoms and the electrons in the beam.

An electron in the hydrogen atom is in the n=4 energy level. When this electron makes a transition to a lower energy level, is the wavelength of the photon emitted in (a) the Lyman series only, (b) the Balmer series only, (c) the Paschen series only, or (d) could it be in the Lyman, the Balmer, or the Paschen series?

The Lyman series of emission lines of the hydrogen atom are those for which

$$n_f = 1.$$

Determine the region of the electromagnetic spectrum in which the lines of the Lyman series are observed.

What are the Miller indices of the cubic crystallographic planes shown in the mentioned Figure?

A hydrogen atom is in its first excited state (n = 2). Using the Bohr theory of the atom, calculate the linear momentum of the electron,

Assuming that the atom was initially at rest, determine the recoil speed of the hydrogen atom when this photon is emitted.

A hydrogen atom is in its first excited state (n = 2). Using the Bohr theory of the atom, calculate the kinetic energy.

A hydrogen atom initially in its ground state (n = 1) absorbs a photon and ends up in the state for which n = 3. (a) What is the energy of the absorbed photon? (b) If the atom returns to the ground state, what photon energies could the atom emit?

If an electron makes a transition from the n = 4 Bohr orbit to the n = 2 orbit, determine the wavelength of the photon created in the process.

An isolated atom of a certain element emits light of wavelength 520 nm when the atom falls from its fifth excited state into its second excited state. The atom emits a photon of wavelength 410 nm when it drops from its sixth excited state into its second excited state. Find the wavelength of the light radiated when the atom makes a transition from its sixth to its fifth excited state.

A hydrogen atom in its second excited state absorbs a photon and makes a transition to a higher excited state. The longest-wavelength photon possible is absorbed. The quantum number of the final state is (a) 1, (b) 2, (c) 3, (d) 4.