The maximum kinetic energy of electrons ejected from a metal surface exposed to 301-nm photons is 2.98 eV. Find the energy of incident photons: E,= 4.11 ev. Find the stopping potential: Vstop= 6.58e-19 V. Find the work function of the metal: 0= ev. Find the wavelength of the least energetic photon that can induce the photo-electric effect in this metal 1= nm.

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**Photoelectric Effect Calculations**

The maximum kinetic energy of electrons ejected from a metal surface exposed to 301-nm photons is 2.98 eV.

**Steps and Data to Analyze:**

1. **Find the energy of incident photons (E_γ):**
    \[
    E_γ = 4.11 \text{ eV}
    \]

2. **Find the stopping potential (V_stop):**
    \[
    V_{stop} = 6.58 \times 10^{-19} \text{ V}
    \]

3. **Find the work function of the metal (φ):**
    \[
    φ = \text{_____ eV}
    \]

4. **Find the wavelength of the least energetic photon that can induce the photoelectric effect in this metal (λ_c):**
    \[
    λ_c = \text{______ nm}
    \]

**Understanding the Parameters:**

- **Maximum Kinetic Energy (K_max)**: The energy with which electrons are ejected from the metal surface.
- **Energy of Incident Photons (E_γ)**: The energy of the photons striking the metal surface.
- **Stopping Potential (V_stop)**: Voltage required to stop the ejected electrons.
- **Work Function (φ)**: The minimum energy required to eject an electron from the metal surface.
- **Wavelength of the Least Energetic Photon (λ_c)**: The longest wavelength that can still induce the photoelectric effect.

**Note**: These values and parameters are critical in understanding the photoelectric effect and are essential in various applications, including photovoltaic cells and other light-sensitive technologies.
Transcribed Image Text:**Photoelectric Effect Calculations** The maximum kinetic energy of electrons ejected from a metal surface exposed to 301-nm photons is 2.98 eV. **Steps and Data to Analyze:** 1. **Find the energy of incident photons (E_γ):** \[ E_γ = 4.11 \text{ eV} \] 2. **Find the stopping potential (V_stop):** \[ V_{stop} = 6.58 \times 10^{-19} \text{ V} \] 3. **Find the work function of the metal (φ):** \[ φ = \text{_____ eV} \] 4. **Find the wavelength of the least energetic photon that can induce the photoelectric effect in this metal (λ_c):** \[ λ_c = \text{______ nm} \] **Understanding the Parameters:** - **Maximum Kinetic Energy (K_max)**: The energy with which electrons are ejected from the metal surface. - **Energy of Incident Photons (E_γ)**: The energy of the photons striking the metal surface. - **Stopping Potential (V_stop)**: Voltage required to stop the ejected electrons. - **Work Function (φ)**: The minimum energy required to eject an electron from the metal surface. - **Wavelength of the Least Energetic Photon (λ_c)**: The longest wavelength that can still induce the photoelectric effect. **Note**: These values and parameters are critical in understanding the photoelectric effect and are essential in various applications, including photovoltaic cells and other light-sensitive technologies.
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