Electromagnetic Radiation and Quantum Theory

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Questions and Answers

What is the frequency of the radiation calculated using a wavelength of $5800 \times 10^{-10}$ m?

  • 5.172 × 10<sup>14</sup> Hz (correct)
  • 219.3 m
  • 1.724 × 10^6 m<sup>-1</sup>
  • 1368 kHz

What does the value of 3.00 × 108 m s-1 refer to in the context of electromagnetic radiation?

  • Planck's constant
  • Wavelength of the radiation
  • Frequency of the radiation
  • Speed of light (correct)

What is the wavelength range of the visible spectrum mentioned in the content?

  • 600 nm to 900 nm
  • 1 nm to 50 nm
  • 400 nm to 750 nm (correct)
  • 200 nm to 300 nm

Which phenomenon can be explained by the wave nature of electromagnetic radiation?

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

What does a wavelength of $5800 \times 10^{-10}$ m correspond to in centimeters?

<p>1.724 × 10<sup>4</sup> cm (B)</p> Signup and view all the answers

What happens when light shines on a metal surface in the photoelectric effect?

<p>Photoelectrons are ejected instantly from the metal. (B)</p> Signup and view all the answers

Which frequency is critical for observing the photoelectric effect for potassium metal?

<p>$5.0 × 10^{14}$ Hz (B)</p> Signup and view all the answers

How does the number of ejected electrons relate to the light's intensity?

<p>It is proportional to the intensity. (D)</p> Signup and view all the answers

What happens to the kinetic energy of ejected electrons as the frequency of light increases?

<p>It increases. (A)</p> Signup and view all the answers

What factor determines the energy of a photon in the context of the photoelectric effect?

<p>The frequency of the light. (D)</p> Signup and view all the answers

What does the photoelectric effect demonstrate about particles of light?

<p>They can be viewed as particles called photons. (C)</p> Signup and view all the answers

What is an incorrect statement about the photoelectric effect?

<p>All metals have the same threshold frequency. (A)</p> Signup and view all the answers

What occurs when the frequency of the light is below the threshold frequency for a metal?

<p>No photoelectrons are emitted. (A)</p> Signup and view all the answers

What is the relationship between the brightness of light and the number of electrons ejected?

<p>The number of electrons ejected depends on the brightness of light. (A)</p> Signup and view all the answers

What does the kinetic energy of the ejected electrons depend on?

<p>The frequency of the electromagnetic radiation. (D)</p> Signup and view all the answers

What does the term 'work function' refer to in this context?

<p>The energy needed to eject an electron. (A)</p> Signup and view all the answers

According to the conservation of energy principle, how is the kinetic energy of the ejected electron calculated?

<p>By subtracting work function from the total energy. (B)</p> Signup and view all the answers

What does the letter 'h' represent in the formula provided?

<p>The Planck constant. (B)</p> Signup and view all the answers

Which light frequency is suggested to cause the ejection of electrons in the example given?

<p>Red light. (D)</p> Signup and view all the answers

What is represented by $m_e$ in the equation provided?

<p>The mass of the electron. (B)</p> Signup and view all the answers

Who is regarded as one of the two great physicists mentioned?

<p>Albert Einstein. (B)</p> Signup and view all the answers

What is the equation used to calculate the kinetic energy of an emitted electron?

<p>Kinetic energy = h(ν - ν0) (C)</p> Signup and view all the answers

What type of spectrum is produced by a substance that has absorbed energy?

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

Which of the following correctly describes excited atoms, molecules, or ions?

<p>They have absorbed radiation. (C)</p> Signup and view all the answers

What happens when a sample is heated or irradiated?

<p>It emits energy as radiation. (B)</p> Signup and view all the answers

How is an absorption spectrum generated?

<p>By passing a continuum of radiation through a sample. (D)</p> Signup and view all the answers

Which parameter in the equation Kinetic energy = h(ν - ν0) represents the threshold frequency?

<p>ν0 (B)</p> Signup and view all the answers

Which of the following statements about the speed of light is true?

<p>It varies depending on the medium. (C)</p> Signup and view all the answers

What indicates a missing wavelength in an absorption spectrum?

<p>A dark line in the spectrum. (A)</p> Signup and view all the answers

What occurs when a ray of white light passes through a prism?

<p>It is spread out into a spectrum. (C)</p> Signup and view all the answers

Which type of spectrum includes dark spaces between bright lines?

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

Which property is restricted to discrete values known as quantization?

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

What method was used to discover the element helium in the sun?

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

How do atoms emit electromagnetic radiation in gaseous hydrogen?

<p>During dissociation and energy excitation. (D)</p> Signup and view all the answers

What does the continuous spectrum of visible light represent?

<p>A range of wavelengths from red to violet. (A)</p> Signup and view all the answers

What is the characteristic of emissions spectra of atoms in the gas phase?

<p>They show only specific wavelengths with dark spaces. (A)</p> Signup and view all the answers

Which light color in the spectrum has the longest wavelength?

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

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Study Notes

Electromagnetic Radiation

  • Frequency: The number of waves passing a point in one second (Hz)
  • Wavelength: The distance between two successive crests or troughs of a wave (m)
  • Speed of light (c): 3 x 10^8 m/s
  • Relationship between frequency and wavelength: c = νλ

Particle Nature of Electromagnetic Radiation

  • Planck’s Quantum Theory: Energy is quantized, meaning it exists in discrete packets called quanta or photons.
  • Energy of a photon: E = hν, where h is Planck’s constant (6.626×10^-34 J s) and ν is the frequency.
  • Photoelectric Effect: Electrons are ejected from a metal surface when light shines on it.
    • Threshold frequency (ν0): Minimum frequency required for the photoelectric effect to occur.
    • Kinetic energy of ejected electrons: KE = hν - hν0 = hν - W0, where W0 is the work function.

Atomic Spectra

  • Emission spectrum: The spectrum of radiation emitted by a substance that has absorbed energy.
    • Excited state: Atoms or molecules that have absorbed energy.
  • Absorption spectrum: The spectrum of radiation absorbed by a substance.
    • Line spectra or atomic spectra: Discrete bright lines emitted or absorbed by atoms in the gas phase due to transitions between quantized energy levels.
  • Spectroscopy: The study of emission or absorption spectra.
  • Line spectrum of hydrogen:
    • Energetically excited hydrogen atoms emit electromagnetic radiation at specific wavelengths.
    • The spectrum reveals the presence of quantized energy levels.

Examples:

  • Helium (He) was discovered in the sun by spectroscopic methods.
  • When a ray of white light is passed through a prism, the wave with shorter wavelength bends more than the one with a longer wavelength.

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