Electromagnetic Radiation and Quantum Numbers Quiz
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Questions and Answers

What is the frequency in sec$^{-1}$ for light with a wavelength of 325 nm?

  • 3.10 x 10$^{16}$
  • 1.31 x 10$^{15}$ (correct)
  • 9.23 x 10$^{14}$
  • 4.80 x 10$^{12}$

What is the energy in Joules of a photon with a wavelength of 1.0 nm?

  • 1.24 x 10$^{-14}$
  • 2.00 x 10$^{-15}$
  • 1.97 x 10$^{-18}$
  • 6.63 x 10$^{-16}$ (correct)

Which subshell corresponds to the quantum number l = 2?

  • s
  • d (correct)
  • p
  • f

Which group of atoms is most likely to acquire an additional electron based on electron affinity trends?

<p>Halogens (C)</p> Signup and view all the answers

Which of the following sets of quantum numbers is valid?

<p>3, 2, 0, 1/2 (A)</p> Signup and view all the answers

How many possible orientations (ml values) are permitted for l = 2?

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

How many electrons can occupy the subshell described by the quantum numbers n = 2, l = 0?

<p>2 (C)</p> Signup and view all the answers

Which theory states that the mass and exact position of an electron cannot be determined simultaneously?

<p>Quantum mechanics (C)</p> Signup and view all the answers

Flashcards

Frequency of 325 nm UV light

The number of wave cycles passing a point per second, calculated using the speed of light (c) and the wavelength (λ) with the formula: ν = c/λ

Frequency of 489 nm light

Frequency (Hz) is the number of waves passing a given point per second, calculated as speed of light divided by the wavelength.

Energy of 1.0 nm photon

The energy (J) of a photon is calculated by multiplying Planck's constant (h), the speed of light (c) and dividing by the wavelength (λ) with the formula: E = hc/λ

Energy of 453 nm photon (Joules)

Calculated using the equation: Energy = (Planck's constant * speed of light) / wavelength

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Subshell for l=2

The 'd' subshell.

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Valid quantum numbers (n, l, ml, ms)

The correct set will satisfy the rules governing these numbers. Specifically: 2 ≤ n,|ml| ≤ l, ms = ± ½

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Electron affinity trend

Halogens have the highest electron affinity, meaning they readily gain electrons.

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Heisenberg's Uncertainty Principle

It states that the position and momentum of a particle, such as an electron, cannot be precisely known simultaneously.

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Study Notes

Electromagnetic Radiation and Quantum Numbers

  • Wavelength and Frequency (Problem 1): UV light's wavelength is 325 nm. Find the frequency.

  • Laser Light Frequency (Problem 2): An argon ion laser emits light at 489 nm. Calculate its frequency.

  • Photon Energy (Problems 3 & 4): Calculate the energy of a photon with a 1.0 nm wavelength and a 453 nm wavelength photon. Include units (Joules).

  • Quantum Number (Problem 5): If an electron has a quantum number (l) of 2, which subshell is it in?

  • Correct Quantum Number Set (Problem 6): Identify the single correct set of quantum numbers (n, l, ml, ms) from the choices provided.

  • Modern Quantum Theory (Problem 8): The modern quantum theory states that the electron's exact position and mass cannot be determined simultaneously—only probability of location is possible.

  • Orbital Orientations (Problem 9): Determine the allowed ml values for l = 2.

  • Electrons in Subshell (Problem 10): Calculate the maximum number of electrons in a subshell with n = 2, l = 0.

  • Electron Affinity (Problem 7): Halogens are most likely to acquire an additional electron based on electron affinity trends.

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Description

This quiz covers fundamental concepts in electromagnetic radiation and quantum numbers. You will solve problems related to wavelength, frequency, photon energy, and quantum number identification. Perfect for students studying atomic structure and quantum theory.

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