Answer:
To find the stopping potential, we need to use the equation:
Stopping Potential = Energy of Incident Photon - Work Function
First, we need to convert the wavelength to energy using the equation:
Energy = (hc) / λ
where:
h = Planck's constant = 6.626 × 10^(-34) J·s
c = speed of light = 3 × 10^8 m/s
λ = wavelength = 155 nm = 155 × 10^(-9) m
Plugging in the values:
Energy = (6.626 × 10^(-34) J·s × 3 × 10^8 m/s) / (155 × 10^(-9) m)
Calculating the energy of the incident photon gives:
Energy = 4.04645 × 10^(-19) J
Next, we need to convert the energy to electron volts (eV) using the conversion factor:
1 eV = 1.6 × 10^(-19) J
Energy = (4.04645 × 10^(-19) J) / (1.6 × 10^(-19) J/eV)
Energy ≈ 2.529 eV
Finally, we can calculate the stopping potential using the equation:
Stopping Potential = 2.529 eV - 5 eV
Stopping Potential ≈ -2.471 eV
Since the stopping potential cannot be negative, we take the absolute value:
Stopping Potential ≈ 2.471 eV
The correct answer is not provided in the given options.
Explanation:
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Answers & Comments
Answer:
To find the stopping potential, we need to use the equation:
Stopping Potential = Energy of Incident Photon - Work Function
First, we need to convert the wavelength to energy using the equation:
Energy = (hc) / λ
where:
h = Planck's constant = 6.626 × 10^(-34) J·s
c = speed of light = 3 × 10^8 m/s
λ = wavelength = 155 nm = 155 × 10^(-9) m
Plugging in the values:
Energy = (6.626 × 10^(-34) J·s × 3 × 10^8 m/s) / (155 × 10^(-9) m)
Calculating the energy of the incident photon gives:
Energy = 4.04645 × 10^(-19) J
Next, we need to convert the energy to electron volts (eV) using the conversion factor:
1 eV = 1.6 × 10^(-19) J
Energy = (4.04645 × 10^(-19) J) / (1.6 × 10^(-19) J/eV)
Energy ≈ 2.529 eV
Finally, we can calculate the stopping potential using the equation:
Stopping Potential = Energy of Incident Photon - Work Function
Stopping Potential = 2.529 eV - 5 eV
Stopping Potential ≈ -2.471 eV
Since the stopping potential cannot be negative, we take the absolute value:
Stopping Potential ≈ 2.471 eV
The correct answer is not provided in the given options.
Explanation: