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The photoelectric work function...

The photoelectric work function

A

is different for different meterials

B

is same for all metals

C

Depends upon frequency of the incident light

D

Depends upon intensity of the incident light

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The correct Answer is:
To solve the question regarding the photoelectric work function, we will analyze each of the given options step by step. ### Step-by-Step Solution: 1. **Understanding the Photoelectric Work Function**: The photoelectric work function (denoted as \( \phi \) or \( W_0 \)) is the minimum energy required to remove an electron from the surface of a metal. This value is unique to each metal. 2. **Evaluating Option 1**: - **Statement**: "The photoelectric work function is different for different metals." - **Analysis**: This statement is true. Each metal has a distinct work function value based on its atomic structure and the binding energy of its electrons. - **Conclusion**: Option 1 is correct. 3. **Evaluating Option 2**: - **Statement**: "The photoelectric work function is the same for all metals." - **Analysis**: This statement is false. As established, the work function varies from one metal to another. - **Conclusion**: Option 2 is incorrect. 4. **Evaluating Option 3**: - **Statement**: "The photoelectric work function depends on the frequency of incident light." - **Analysis**: The work function is a property of the metal and does not change with the frequency of the incident light. The relationship between the work function and frequency is given by the equation \( W_0 = h \nu_0 \), where \( \nu_0 \) is the threshold frequency. The actual frequency of incident light can be higher, but it does not affect the work function itself. - **Conclusion**: Option 3 is incorrect. 5. **Evaluating Option 4**: - **Statement**: "The photoelectric work function depends on the intensity of the incident light." - **Analysis**: The intensity of light affects the number of emitted electrons but not the energy required to release an electron from the metal surface. The work function remains constant regardless of the intensity. - **Conclusion**: Option 4 is incorrect. 6. **Final Conclusion**: Based on the analysis of all options, the only correct statement is: - **Correct Option**: Option 1 - "The photoelectric work function is different for different metals."
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