The maximum kinetic energy of emitted electrons in a photoelectric effect does not depend upon 

Options

A. Intensity
B. Work function
C. Wavelength
D. Frequency

Answer

To solve the question regarding the maximum kinetic energy of emitted electrons in the photoelectric effect, let's analyze the relationships involved.

### Step-by-Step Solution:

1. **Understanding the Photoelectric Effect**:
The photoelectric effect describes the phenomenon where electrons are emitted from a material (usually a metal) when it is exposed to light (photons) of sufficient energy.

2. **Key Equation**:
The maximum kinetic energy (K_max) of the emitted electrons can be expressed by the equation:
\[ K_{max} = h\nu - \phi \]
where:
- \( K_{max} \) = maximum kinetic energy of the emitted electrons,
- \( h \) = Planck's constant,
- \( \nu \) = frequency of the incident light,
- \( \phi \) = work function of the material (the minimum energy required to remove an electron from the surface).

3. **Analyzing Dependencies**:
- **Frequency (\( \nu \))**: The equation shows that \( K_{max} \) is directly dependent on the frequency of the incident light. Higher frequency means higher energy photons, leading to greater kinetic energy of emitted electrons.
- **Wavelength**: Since frequency and wavelength are inversely related (\( c = \nu \lambda \)), if \( K_{max} \) depends on frequency, it also indirectly depends on wavelength.
- **Work Function (\( \phi \))**: The work function is a fixed property of the material. Since \( K_{max} \) is reduced by the work function, it is also dependent on it.
- **Intensity**: The intensity of light refers to the number of photons hitting the surface per unit area per unit time. While increasing intensity increases the number of emitted electrons (if the frequency is above the threshold), it does not affect the maximum kinetic energy of the emitted electrons.

4. **Conclusion**:
From the analysis, we can conclude that the maximum kinetic energy of emitted electrons does not depend on the intensity of the incident light.

### Final Answer:
The maximum kinetic energy of emitted electrons in the photoelectric effect does not depend upon **intensity**.

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