Atomic Spectra and Bohr Model

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Questions and Answers

How does a line spectrum differ from a continuous spectrum?

  • A line spectrum is produced by reflection, while a continuous spectrum is produced by refraction.
  • A line spectrum contains a complete array of colors, while a continuous spectrum contains only a few scattered lines of color.
  • A line spectrum contains only a few scattered lines of color, while a continuous spectrum contains a complete array of colors. (correct)
  • A line spectrum is associated with molecules, while a continuous spectrum is associated with individual atoms.

What is the significance of the constant 'J' and the quantum number 'n' in the equation $E = -J/n^2$ regarding the Bohr model?

  • 'J' is a constant related to the energy scale of the atom, and 'n' is the quantum number corresponding to the energy level. (correct)
  • 'J' represents the mass of the electron, and 'n' represents the number of neutrons in the nucleus.
  • 'J' represents the angular momentum of the electron, and 'n' represents the number of protons in the nucleus.
  • 'J' represents the ionization energy of the atom, and 'n' represents the number of electrons in the atom.

According to Bohr's model, what happens to an electron when it absorbs energy?

  • It transitions to a higher energy orbit. (correct)
  • It remains in its original orbit but increases its velocity.
  • It causes the atom to lose a proton, changing the element identity.
  • It jumps to a lower energy orbit, releasing a photon.

How does the concept of 'quantized' relate to the energy levels in the Bohr model of the atom?

<p>Energy levels are restricted to specific, discrete values. (A)</p>
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What distinguishes the 'ground state' of an atom from its 'excited states'?

<p>The ground state is the lowest energy state, while excited states are all energy states higher than the ground state. (B)</p>
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In the context of atomic structure, what was the primary contradiction in the planetary model of the atom that led to the development of the Bohr model?

<p>The planetary model predicted that electrons should continuously emit radiation and spiral into the nucleus, making atoms unstable. (A)</p>
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What contribution did Robert Bunsen and Gustav Kirchhoff make to the study of atomic structure?

<p>They established the relationship between atomic spectra and the composition of elements. (C)</p>
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If an electron transitions from $n = 3$ to $n = 1$ in a hydrogen atom, will this result in absorption or emission of energy, and why?

<p>Emission, because the electron moves to a lower energy level. (B)</p>
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How do spectroscopes and spectrographs aid in the study of light and matter?

<p>They separate colors of light and measure their frequencies, providing information about the composition and properties of matter. (C)</p>
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According to the equation $E=-J/n^2$, how does increasing the value of the quantum number n affect the energy (E) of an electron in the Bohr model, and what does this imply about the electron's position?

<p>Increasing <em>n</em> increases the electron's energy, meaning it is further from the nucleus. (D)</p>
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Why are both absorption and emission of energy by electrons described as 'quantized'?

<p>Because electrons can only absorb or emit specific amounts of energy corresponding to the differences between allowed energy levels. (D)</p>
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J.J. Thomson and Ernest Rutherford contributed significantly to our understanding of atomic structure. How did their models differ fundamentally from the later Bohr model?

<p>Thomson and Rutherford's models did not incorporate the concept of quantized energy levels, a key feature of the Bohr model. (B)</p>
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In what fundamental way does the line spectrum of an element support the concept of quantized energy levels in atoms?

<p>The presence of discrete lines indicates that electrons can only undergo transitions involving specific, defined amounts of energy. (B)</p>
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Consider a hypothetical atom with energy levels defined by $E_n = -C/n^3$, where C is a constant. If an electron transitions from $n = 2$ to $n = 1$, how would the energy of the emitted photon compare to that of a hydrogen atom transitioning from $n = 2$ to $n = 1$?

<p>The energy of the emitted photon depends on the value of C and would likely be different from that of hydrogen. (A)</p>
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An astronomer observes the spectrum of a distant star and notices that the absorption lines for hydrogen are shifted towards the red end of the spectrum compared to their known positions in a laboratory. What can they infer from this observation?

<p>The star is moving away from Earth. (D)</p>
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Two different elements, X and Y, have distinctly different line spectra. What does this indicate about the atoms of these elements?

<p>They have different sets of quantized energy levels for their electrons. (A)</p>
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In what way did Niels Bohr's model build upon the prior work of Rutherford, and what key limitation of Rutherford's model did Bohr address?

<p>Bohr accepted Rutherford's nuclear model but introduced quantized energy levels to explain why electrons didn't spiral into the nucleus. (A)</p>
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Consider two hydrogen atoms: one in its ground state and another in an excited state with $n = 3$. How does the radius of the electron's orbit in the excited atom compare to that of the ground state atom, according to the Bohr model?

<p>The radius is nine times larger in the excited atom. (C)</p>
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Suppose a new element is discovered and its spectrum shows a unique set of lines not matching any known element. According to the principles learned from Bunsen and Kirchhoff's work, what can be definitively concluded?

<p>The element's atoms have a unique set of energy levels, different from all other known elements. (C)</p>
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Imagine an electron absorbs a photon with precisely the energy difference between the $n=2$ and $n=4$ energy levels in a hydrogen atom. What will happen to this electron according to the Bohr model?

<p>The electron will transition to the $n=4$ energy level. (A)</p>
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Flashcards

Spectroscope and Spectrograph

Instruments used to separate colors of light and measure their frequencies.

Line Spectrum

A spectrum that contains only a few discrete lines of color against dark background.

Continuous Spectrum

A spectrum containing the complete array of colors, like a rainbow.

Planetary Model

An early model of the atom where electrons orbit the nucleus like planets around the sun.

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Energy Levels

Specific orbits around the nucleus in which electrons can move, each with a defined energy.

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Quantized

The restriction of energy levels to only certain specific values.

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Ground State

The lowest energy state of an atom, where it is most stable.

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Excited State

Any energy state of an atom that is higher than the ground state.

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Study Notes

Atomic Spectra

  • Spectroscopes and spectrographs separate colors and measure frequencies in a lab.

Line Spectra

  • Robert Bunsen and Gustav Kirchhoff studied line spectra.
  • Line spectrum: Contains only a few scattered lines of color.
  • Continuous spectrum: Contains the complete array of colors.

Contradictions in the Planetary Model

  • JJ Thomson and Ernest Rutherford developed the planetary model.
  • The planetary model portrays the atom as a miniature solar system.

The Bohr Model of the Atom

  • Niels Bohr proposed that electrons in hydrogen atoms can only move around the nucleus in specific orbits.
  • Energy levels are specific orbits around the nucleus where electrons can move.
  • Quantized means restricted to certain values.
  • $$E=-J/n^2$$ is an equation.
  • J is a constant; n is the quantum number.
  • Ground state: The lowest energy state of an atom (n=1), which is the most stable.
  • Excited states: All energy states other than the ground state.
  • Both absorptions and emissions are quantized.

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