3.5 Properties of Photons

• What is a photon defined as?

  Discrete packet of electromagnetic radiation
• Match the property with its description:

  Wavelength ↔️ Distance between wave peaks

  Frequency ↔️ Number of cycles per second
• Photons always travel at the speed of light in a vacuum.


  True
• The Planck constant has a value of approximately $6.626 \times 10^{ - 34} J⋅s$.


  True
• Photons exhibit both particle-like and wave-like behavior.


  True
• Photons have a small but non-zero momentum
• Photons behave as discrete packets of energy, also known as quanta
• The energy of a photon is inversely proportional to its wavelength
• What is the value of the Planck constant in joule-seconds?

  $6.626 \times 10^{ - 34} J⋅s$
• Photons with higher frequencies have more energy than photons with lower frequencies.


  True
• The Planck constant has a value of approximately 6.626 × 10^{-34} J⋅s</latex>.


  True
• Photons possess both energy and non-zero momentum
• Define a photon in terms of its fundamental properties.

  Discrete packet of electromagnetic radiation
• Why do photons exhibit dual nature?

  Light behaves as both particles and waves
• Photons with longer wavelengths have less energy.


  True
• What is the approximate value of the Planck constant in SI units?

  $6.626 \times 10^{ - 34} J⋅s$
• Wavelength and frequency are inversely proportional
• The momentum of a photon, denoted as p, is related to its energy by the formula $p =$$\frac{E}{c}$.
• Photons exhibit both particle-like and wave-like behavior
• Match the applications of photon properties with their underlying principles:

  Photoelectric effect ↔️ Emission of electrons by photons

  Compton scattering ↔️ Scattering of X-rays by electrons

  Optical microscopy ↔️ Magnifying objects with visible light

  Laser technology ↔️ Producing coherent monochromatic beams
• The energy of a photon is directly proportional to its frequency
• The frequency of a photon is measured in hertz
• The energy of a photon is directly proportional to its frequency
• Calculate the wavelength of a wave with a frequency of $5 × 10^{14} Hz$.


  $6 × 10^{ - 7} m$
• Photons with higher energy have greater momentum.


  True
• Match the property with its manifestation:

  Particle-like behavior ↔️ Photoelectric effect

  Wave-like behavior ↔️ Interference patterns
• The energy of a photon can be calculated using the formula $E =$$hf$, where $h$ is the Planck constant.
• The energy of a photon, denoted as E, is directly proportional to its frequency
• As wavelength decreases, frequency increases.


  True
• Arrange the following quantities and their symbols in the correct order:

  1️⃣ Momentum - `p`

  2️⃣ Energy - `E`

  3️⃣ Wavelength - `λ`

  4️⃣ Planck Constant - `h`

  5️⃣ Speed of Light - `c`
• What are photons considered the fundamental quanta of?

  Light and electromagnetic radiation
• The energy of a photon is calculated using the formula E = hf
• What is a key property of photons regarding their energy?

  Determined by wavelength or frequency
• What are two key characteristics of photons when they exhibit wave-like behavior?

  Wavelength and frequency
• What is the approximate value of the speed of light in a vacuum?

  $3 \times 10^{8} m / s$
• The energy of a photon can also be calculated using its wavelength
• Calculate the energy of a photon with a frequency of 5 × 10^{14} Hz</latex>.

  $3.313 × 10^{ - 19} J$
• Match the property with its description:

  Wavelength ↔️ Distance between two consecutive crests or troughs

  Frequency ↔️ Number of complete cycles per unit time
• What is the formula relating momentum to energy for a photon?

  $p =$$\frac{E}{c}$
• Photons carry energy determined by their wavelength or frequency