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Define ionization energy.
Concept: De Broglie’s Explanation of Bohr’s Second Postulate of Quantisation
Calculate the shortest wavelength of the spectral lines emitted in Balmer series.
[Given Rydberg constant, R = 107 m–1]
Concept: De Broglie’s Explanation of Bohr’s Second Postulate of Quantisation
When is Hα line in the emission spectrum of hydrogen atom obtained? Calculate the frequency of the photon emitted during this transition.
Concept: Hydrogen Spectrum
Given the ground state energy E0 = - 13.6 eV and Bohr radius a0 = 0.53 Å. Find out how the de Broglie wavelength associated with the electron orbiting in the ground state would change when it jumps into the first excited state.
Concept: Energy Levels
State Bohr’s postulate of hydrogen atom which successfully explains the emission lines in the spectrum of hydrogen atom. Use Rydberg formula to determine the wavelength of Hα line. [Given: Rydberg constant R = 1.03 × 107 m−1]
Concept: Bohr’s Model for Hydrogen Atom
A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. Upto which energy level the hydrogen atoms would be excited? Calculate the wavelengths of the first member of Lyman and first member of Balmer series.
Concept: Energy Levels
The ground state energy of a hydrogen atom is −13.6 eV. What are the kinetic and potential energies of the electron in this state?
Concept: Energy Levels
A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. What series of wavelengths will be emitted?
Concept: The Line Spectra of the Hydrogen Atom
The total energy of an electron in the first excited state of the hydrogen atom is about −3.4 eV.
What is the kinetic energy of the electron in this state?
Concept: Energy Levels
The total energy of an electron in the first excited state of the hydrogen atom is about −3.4 eV.
What is the potential energy of the electron in this state?
Concept: Energy Levels
The total energy of an electron in the first excited state of the hydrogen atom is about −3.4 eV.
Which of the answers above would change if the choice of the zero of potential energy is changed?
Concept: Energy Levels
The ground state energy of hydrogen atom is – 13∙6 eV. If an electron makes a transition from an energy level – 1∙51 eV to – 3∙4 eV, calculate the wavelength of the spectral line emitted and name the series of hydrogen spectrum to which it belongs.
Concept: Hydrogen Spectrum
Find out the wavelength of the electron orbiting in the ground state of hydrogen atom.
Concept: Hydrogen Spectrum
Find the wavelength of the electron orbiting in the first excited state in hydrogen atom.
Concept: The Line Spectra of the Hydrogen Atom
How would the ionization energy change when the electron in the hydrogen atom is replaced by a particle of mass 200 times that of the electron but having the same charge?
Concept: De Broglie’s Explanation of Bohr’s Second Postulate of Quantisation
Using Bohr's postulates, derive the expression for the orbital period of the electron moving in the nth orbit of hydrogen atom ?
Concept: Bohr’s Model for Hydrogen Atom
State Bohr postulate of hydrogen atom that gives the relationship for the frequency of emitted photon in a transition.
Concept: Bohr’s Model for Hydrogen Atom
An electron jumps from fourth to first orbit in an atom. How many maximum number of spectral lines can be emitted by the atom? To which series these lines correspond?
Concept: Atomic Spectra
The kinetic energy of the electron orbiting in the first excited state of hydrogen atom is 3.4 eV. Determine the de Broglie wavelength associated with it.
Concept: Heisenberg and De Broglie Hypothesis
Using Rydberg formula, calculate the longest wavelength belonging to Lyman and Balmer series. In which region of hydrogen spectrum do these transitions lie?
[Given R = 1.1 ✕ 107 m−1]
Concept: Hydrogen Spectrum
