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The number of photo electrons emitted for lightof a frequency v (higher than the threshold frequency v0) is proportional to: [2009]
  • a)
    Threshold frequency ( v0)
  • b)
    Intensity of light
  • c)
    Frequency of light ( v )
  • d)
    v – v0
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The number of photo electrons emitted for lightof a frequency v (highe...
The number of photoelectrons emitted is
proportional to the intensity of incident
light. Saturation current  ∝ intensity.
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Most Upvoted Answer
The number of photo electrons emitted for lightof a frequency v (highe...
The Photoelectric Effect
The photoelectric effect describes how light can eject electrons from a metal surface. The key factors influencing the number of emitted photoelectrons are the light's frequency and intensity.
Proportionality to Intensity of Light
- The number of photoelectrons emitted is directly related to the intensity of the incident light.
- Intensity refers to the power per unit area and is related to the number of photons striking the surface per second.
Why Intensity Matters
- As the intensity increases, more photons are available to interact with the electrons in the metal.
- Each photon has enough energy (frequency greater than the threshold frequency, v0) to release an electron.
- Thus, a higher intensity leads to a greater number of photons and consequently, more ejected electrons.
Frequency and Threshold Frequency
- The frequency of light (v) must be greater than the threshold frequency (v0) for photoemission to occur.
- While frequency affects the energy of individual photons, it does not directly influence the number of emitted electrons as long as it exceeds the threshold.
- Therefore, the difference between v and v0 is not a determining factor for the number of emitted electrons.
Conclusion
In summary, the correct answer is option 'B' because:
- The number of emitted photoelectrons is directly proportional to the intensity of light.
- Higher intensity results in more photons, leading to an increased number of emitted electrons, while frequency merely needs to be above the threshold for emission to occur.
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