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Which of the following pairs have linear relationship between themselves when photoelectrons are emitted from a surface :
  • a)
    Frequency of incident radiation and stopping potential
  • b)
    Photoelectric current and the pot-diff. between the surface and anode
  • c)
    Photoelectric current and frequency of incident radiation
  • d)
    Intensity of incident radiation and stopping potential
Correct answer is option 'A'. Can you explain this answer?
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Which of the following pairs have linear relationship between themselv...
Frequency of Incident Radiation and Stopping Potential:
When photoelectrons are emitted from a surface, the frequency of the incident radiation plays a crucial role in determining the maximum kinetic energy of the emitted electrons. The stopping potential, on the other hand, is the minimum potential that needs to be applied to stop the emitted electrons from reaching the anode.
Here's why the frequency of incident radiation and stopping potential have a linear relationship:
- According to the photoelectric equation, E = hf - Φ, where E is the energy of the emitted electron, h is the Planck's constant, f is the frequency of the incident radiation, and Φ is the work function of the material.
- The stopping potential is directly related to the maximum kinetic energy of the emitted electrons. This can be expressed as eVs = Emax, where e is the charge of an electron and Vs is the stopping potential.
- Combining the two equations, we get eVs = hf - Φ, which shows a linear relationship between the frequency of incident radiation and stopping potential.
Therefore, the frequency of incident radiation and stopping potential have a linear relationship when photoelectrons are emitted from a surface.
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Which of the following pairs have linear relationship between themselves when photoelectrons are emitted from a surface :a)Frequency of incident radiation and stopping potentialb)Photoelectric current and the pot-diff. between the surface and anodec)Photoelectric current and frequency of incident radiationd)Intensity of incident radiation and stopping potentialCorrect answer is option 'A'. Can you explain this answer?
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