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The correct curve between the stopping p...

The correct curve between the stopping potential `(V)` and intensity of incident light `(I)` is

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To analyze the relationship between the stopping potential (V) and the intensity of incident light (I), we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Stopping Potential**: - Stopping potential (V) is the negative potential applied to stop the emitted photoelectrons from reaching the anode. It is related to the kinetic energy of the emitted electrons. 2. **Einstein's Photoelectric Equation**: - According to Einstein's photoelectric equation, the energy of the emitted electrons can be expressed as: \[ E_k = h\nu - \phi \] where \(E_k\) is the kinetic energy of the emitted electrons, \(h\) is Planck's constant, \(\nu\) is the frequency of the incident light, and \(\phi\) is the work function of the material. 3. **Relating Stopping Potential to Kinetic Energy**: - The kinetic energy of the emitted electrons is also related to the stopping potential: \[ E_k = eV \] where \(e\) is the charge of the electron. Setting the two expressions for kinetic energy equal gives: \[ eV = h\nu - \phi \] Rearranging this gives: \[ V = \frac{h\nu - \phi}{e} \] 4. **Effect of Intensity on Photoelectric Effect**: - The intensity (I) of the incident light is proportional to the number of photons hitting the surface per unit time. Higher intensity means more photons, which can lead to more electrons being emitted, but does not affect the energy of individual photons. 5. **Conclusion on the Relationship**: - The stopping potential (V) is dependent on the frequency of light (or wavelength) and the work function, but not directly on the intensity. Therefore, as the intensity increases, the number of emitted electrons increases (leading to a higher current), but the stopping potential remains constant for a given frequency of light. 6. **Graphical Representation**: - When plotting the stopping potential (V) against the intensity (I), the graph will show that the stopping potential remains constant as the intensity increases. This indicates that the stopping potential does not change with intensity, leading to a horizontal line on the graph. ### Final Answer: The correct curve between the stopping potential (V) and the intensity of incident light (I) is a horizontal line, indicating that stopping potential is independent of intensity.

To analyze the relationship between the stopping potential (V) and the intensity of incident light (I), we can follow these steps: ### Step-by-Step Solution: 1. **Understanding Stopping Potential**: - Stopping potential (V) is the negative potential applied to stop the emitted photoelectrons from reaching the anode. It is related to the kinetic energy of the emitted electrons. 2. **Einstein's Photoelectric Equation**: ...
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