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Questions and Answers
What determines the stationary orbits in which an electron can revolve?
What determines the stationary orbits in which an electron can revolve?
- The angular momentum being an integer multiple of (h / 2Ï€) (correct)
- The mass of the nucleus
- The velocity of the electron
- The charge of the nucleus
How is the radius of an electron's orbit related to the principal quantum number?
How is the radius of an electron's orbit related to the principal quantum number?
- It is directly proportional to the principal quantum number.
- It is equal to the principal quantum number.
- It is inversely proportional to the square of the principal quantum number.
- It is proportional to the square of the principal quantum number. (correct)
Which of the following statements about the energy of emitted photons is correct?
Which of the following statements about the energy of emitted photons is correct?
- Photon energy is independent of the electron's orbits.
- Energy is the difference between the energies of the two orbits. (correct)
- Photon energy is only emitted when an electron is at rest.
- Photon energy increases with the number of electron jumps.
What is the total energy of an electron in orbit n in terms of its atomic number Z?
What is the total energy of an electron in orbit n in terms of its atomic number Z?
Which series in the hydrogen spectrum corresponds to transitions from higher orbits to n = 1?
Which series in the hydrogen spectrum corresponds to transitions from higher orbits to n = 1?
What is the relationship between the frequency of an electron's orbit and its quantum number n?
What is the relationship between the frequency of an electron's orbit and its quantum number n?
What is the potential energy of an electron in orbit n in terms of atomic number Z?
What is the potential energy of an electron in orbit n in terms of atomic number Z?
Which of the following best describes the concept of quantized energy levels?
Which of the following best describes the concept of quantized energy levels?
What is described as the tiny region at the center of the atom where positive charge and mass are concentrated?
What is described as the tiny region at the center of the atom where positive charge and mass are concentrated?
Which model of the atom incorrectly posited that electrons are distributed uniformly throughout a positively charged sphere?
Which model of the atom incorrectly posited that electrons are distributed uniformly throughout a positively charged sphere?
What key concept did Rutherford's scattering experiments reveal about the nucleus?
What key concept did Rutherford's scattering experiments reveal about the nucleus?
According to the limitations of Rutherford's Atomic Model, what happens to electrons as they orbit the nucleus?
According to the limitations of Rutherford's Atomic Model, what happens to electrons as they orbit the nucleus?
What does the impact parameter represent in relation to Rutherford's experiments?
What does the impact parameter represent in relation to Rutherford's experiments?
Which of the following equations correctly represents the distance of closest approach for an α-particle?
Which of the following equations correctly represents the distance of closest approach for an α-particle?
What fundamental reason led to the rejection of Thomson's Atomic Model?
What fundamental reason led to the rejection of Thomson's Atomic Model?
In Rutherford's model of the atom, how is the total charge of the nucleus balanced?
In Rutherford's model of the atom, how is the total charge of the nucleus balanced?
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Study Notes
Dalton's Atomic Theory
- States that elements are composed of atoms, which are indivisible particles.
- Atoms of the same element are identical, while atoms of different elements have different properties.
- This theory served as a foundational concept for modern atomic theory.
Thomson's Atomic Model
- Described the atom as a positively charged sphere with negatively charged electrons embedded within it.
- The model was based on the idea that the atom is electrically neutral.
- This model was unable to explain certain observed phenomena, including the spectral series of hydrogen and the scattering of alpha particles.
Rutherford's Atomic Model
- Proposed based on experiments involving the scattering of alpha particles by thin gold foil.
- The model described the atom as consisting of a small, dense, positively charged nucleus at the center, with negatively charged electrons orbiting around it.
- The model explained the observed large-angle scattering of alpha particles.
Distance of Closest Approach
- This refers to the minimum distance an alpha particle comes to the nucleus before being deflected.
- The value depends on the alpha particle's kinetic energy and the nucleus's atomic number.
Impact Parameter
- The perpendicular distance between an alpha particle's velocity vector and the nucleus when the particle is far away.
- Determines the scattering angle of the alpha particle.
Rutherford's Scattering Formula
- Relates the number of alpha particles scattered at a specific angle to the impact parameter, atomic number, energy of the alpha particles, and thickness of the foil.
Limitations of Rutherford's Model
- It failed to explain the stability of atoms, as the model predicted that electrons would lose energy and spiral into the nucleus.
- It couldn't explain the line spectrum of elements.
Bohr's Atomic Model
- Proposed that electrons can only exist in specific, quantized orbits around the nucleus.
- The model introduced the idea of energy levels, where electrons can transition between orbits by absorbing or emitting photons of light.
- The angular momentum of an electron in an orbit is quantized, meaning it can only take on specific values.
Hydrogen Spectrum Series
- The hydrogen atom emits a unique set of spectral lines, which are characteristic of the element.
- There are several spectral series, including the Lyman, Balmer, Paschen, Brackett, and Pfund series.
- The series correspond to transitions of electrons between different energy levels.
Lyman Series
- Occurs when electrons transition from higher energy levels (n = 2, 3, 4...) to the ground state (n = 1).
- Emits ultraviolet radiation.
Balmer Series
- Occurs when electrons transition from higher energy levels (n = 3, 4, 5...) to the second energy level (n = 2).
- Emits visible light.
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