Atomic Structure and Spectra Quiz
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Questions and Answers

What is defined as the arrangement of EM waves in order of increasing frequency?

  • Wavelength classification
  • Radiation series
  • Electromagnetic spectrum (correct)
  • Frequency spectrum

Which segment of the electromagnetic spectrum has the longest wavelength?

  • Microwaves
  • Gamma rays
  • Ultraviolet
  • Radio waves (correct)

What happens when electrons in hydrogen atoms return to lower orbits?

  • They absorb energy and disappear.
  • They gain energy and emit a continuous spectrum.
  • They initiate a chemical reaction.
  • They release radiation of different wavelengths. (correct)

In which regions do the spectral lines of hydrogen predominantly lie?

<p>Visible, Ultraviolet, and Infrared (D)</p> Signup and view all the answers

How quickly do electrons return to lower orbits after excitation in hydrogen gas?

<p>In 10–8 seconds (C)</p> Signup and view all the answers

Which series corresponds to the emission of energy in the ultraviolet region?

<p>Lyman series (B)</p> Signup and view all the answers

What is the formula to determine the number of lines in the Lyman series?

<p>n2 - 1 (B)</p> Signup and view all the answers

Which series is associated with the energy level of 0.31 eV?

<p>Pfund series (B)</p> Signup and view all the answers

In which region of the electromagnetic spectrum does the Balmer series emit light?

<p>Visible (A)</p> Signup and view all the answers

From which quantum level does the Paschen series transition originate?

<p>n2 = 4 (B)</p> Signup and view all the answers

Which of the following series corresponds to infrared emission?

<p>Brackett series (D)</p> Signup and view all the answers

What is the energy level associated with the Brackett series?

<p>0.66 eV (A)</p> Signup and view all the answers

How many lines does the Paschen series have if $n2 = 4$?

<p>3 (B)</p> Signup and view all the answers

What is the total number of spectral lines when an electron transitions from the 6th to the 3rd orbit?

<p>10 (B)</p> Signup and view all the answers

How many spectral lines fall in the Paschen region when an electron transitions from n2 = 6 to n1 = 3?

<p>4 (D)</p> Signup and view all the answers

What value of n corresponds to 10 spectral lines when an electron transitions from n to 1?

<p>5 (D)</p> Signup and view all the answers

In the context of the Balmer series of a hydrogen atom, what n values correspond to the 3rd line in the spectrum?

<p>n2 = 5, n1 = 2 (A)</p> Signup and view all the answers

When calculating spectral lines, what is the formula used to find the total lines in a spectrum given n2 and n1 values?

<p>(n2 - n1)(n2 - n1 + 1)/2 (C)</p> Signup and view all the answers

Flashcards

Electromagnetic Spectrum

The arrangement of electromagnetic waves in order of increasing frequency or decreasing wavelength.

Energy, Frequency, and Wavelength Relationship

Energy increases as frequency increases and wavelength decreases. Energy decreases as frequency decreases and wavelength increases.

Visible Light Spectrum

Visible light is a small part of the EM spectrum, with wavelengths between 3800 and 7600 Angstroms.

Hydrogen Line Spectrum

When hydrogen atoms are excited, electrons jump to higher energy levels. As they return to lower levels, they emit light of specific wavelengths.

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Hydrogen Spectrum Series

The hydrogen spectrum consists of distinct lines grouped into series, with wavelengths in the visible, ultraviolet, and infrared regions.

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Lyman Series

The Lyman series is a set of spectral lines in the ultraviolet (UV) region of the electromagnetic spectrum, produced when an electron in a hydrogen atom transitions from a higher energy level to the ground state (n=1).

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Balmer Series

The Balmer series is a set of spectral lines in the visible region of the electromagnetic spectrum, produced when an electron in a hydrogen atom transitions from a higher energy level to the first excited state (n=2).

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Paschen Series

The Paschen series is a set of spectral lines in the infrared (IR) region of the electromagnetic spectrum, produced when an electron in a hydrogen atom transitions from a higher energy level to the second excited state (n=3).

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Brackett Series

The Brackett series is a set of spectral lines in the infrared (IR) region of the electromagnetic spectrum, produced when an electron in a hydrogen atom transitions from a higher energy level to the third excited state (n=4).

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Pfund Series

The Pfund series is a set of spectral lines in the infrared (IR) region of the electromagnetic spectrum, produced when an electron in a hydrogen atom transitions from a higher energy level to the fourth excited state (n=5).

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Humpherys Series

The Humpherys series is a set of spectral lines in the infrared (IR) region of the electromagnetic spectrum, produced when an electron in a hydrogen atom transitions from a higher energy level to the fifth excited state (n=6).

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Energy Levels & Spectral Lines

The energy difference between two energy levels in a hydrogen atom corresponds to a specific wavelength of light emitted or absorbed.

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Total Number of Spectral Lines

The total number of spectral lines emitted when an electron transitions from a higher energy level (n2) to a lower energy level (n1) is calculated by the formula: (n2 - n1) * (n2 - n1 + 1) / 2.

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Spectral Lines in a Specific Series

The total number of spectral lines that fall within a specific series (e.g., Lyman, Balmer, Paschen) is determined by the difference between the higher energy level (n2) and the lower energy level (n1) of the series: n2 - n1.

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Multi-step Electron Transitions

When an electron in a hydrogen atom transitions from a higher energy level to a lower level, it can do so in multiple steps, resulting in the emission of several spectral lines.

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Electron Transitions to Ground State

The number of spectral lines emitted when an electron transitions from an energy level 'n' to the ground state (n = 1) is calculated using the formula: (n - 1) * n / 2. For example, if the electron moves from n = 5 to n = 1, there will be (5 - 1) * 5 / 2 = 10 spectral lines.

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Balmer Series Third Line

The Balmer series is a specific series of spectral lines in the hydrogen spectrum, with transitions ending at the n = 2 energy level. The third line in this series corresponds to the transition from n = 5 to n = 2.

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Study Notes

Atomic Structure and Spectra

  • Electromagnetic Spectrum (EM Spectrum): The arrangement of electromagnetic waves in order of increasing frequency or decreasing wavelength. This includes radio waves, microwaves, infrared, visible light, ultraviolet, X-rays, and gamma rays.

  • Energy and Wavelength Relationship: Energy (E) is directly proportional to frequency (ν) and inversely proportional to wavelength (λ). This relationship is expressed as E = hν = hc/λ, where h is Planck's constant and c is the speed of light.

  • Bohr Model of the Atom: A model of the atom proposing that electrons orbit the nucleus in specific energy levels. Electrons can jump between these energy levels by absorbing or emitting energy in the form of photons.

  • Hydrogen Line Spectrum: Discrete wavelengths of light emitted by hydrogen atoms when electrons transition between energy levels. These spectral lines are grouped into series (Lyman, Balmer, Paschen, Brackett, Pfund, Humphrey).

  • Energy Level Transitions: Electrons move between energy levels within the atom. This movement from lower to higher energy levels requires absorption of energy or from higher to lower energy levels requires emission of energy.

Calculation of spectral lines

  • Total Number of Spectral Lines: The total number of spectral lines emitted when an electron transitions from a higher energy level (n₂) to a lower energy level (n₁) can be calculated using the formula: (n₂-n₁)(n₂-n₁ + 1)/2

  • Example Calculation: If an electron transits from n₂=6 to n₁=2, the calculation of the lines is (6-2)(6-2+1)/2 = (4)(5)/2=10 spectral lines.

Hydrogen Spectral Series and Energy Levels

  • Energy Levels: Atoms have distinct energy levels. Electrons occupy these energy levels within the atom.

  • Series: The spectral lines emitted by the electron transitions are organized into series:

SeriesRegionn₁n₂LymanUV12, 3, 4, ...BalmerVisible23, 4, 5, ...PaschenInfrared (IR)34, 5, 6, ...BrackettInfrared (IR)45, 6, 7, ...PfundInfrared (IR)56, 7, 8, ...HumphreyInfrared (IR)67, 8, 9, ...

  • Transitions: Different lines in the series correspond to electron transitions between different energy levels.

Number of spectral lines

  • Formula for Number of Lines: The formula for calculating the number of spectral lines when an electron transits from higher orbit to lower orbit is (n - 1)n/2; where n is the higher energy level.

Additional Notes

  • The wavelengths and the locations of the spectral lines for different series of the hydrogen atomic emission spectra are categorized as ultraviolet, visible and infrared regions.

  • The emission of light occurs when an electron within the atom transits from a higher energy level to a lower one. The energy difference corresponds to the wavelength or frequency of the emitted light.

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Description

Test your knowledge on atomic structure and the electromagnetic spectrum. This quiz covers key concepts such as the Bohr model, energy-wavelength relationships, and the hydrogen line spectrum. Gain a deeper understanding of how these principles explain the behavior of atoms and light.

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