Stopping Potential Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stopping Potential = ([hP]*[c])/(Wavelength*[Charge-e])-Work Function of Surface of Metal/[Charge-e]
V0 = ([hP]*[c])/(λ*[Charge-e])-phi/[Charge-e]
This formula uses 3 Constants, 3 Variables
Constants Used
[Charge-e] - Charge of electron Value Taken As 1.60217662E-19
[hP] - Planck constant Value Taken As 6.626070040E-34
[c] - Light speed in vacuum Value Taken As 299792458.0
Variables Used
Stopping Potential - (Measured in Volt) - Stopping potential is voltage difference required to stop electrons from moving between plates and creating a current in the photoelectric experiment.
Wavelength - (Measured in Meter) - Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire.
Work Function of Surface of Metal - (Measured in Joule) - Work Function of Surface of Metal is nothing but the binding energy of electron to the particular material.
STEP 1: Convert Input(s) to Base Unit
Wavelength: 2.1 Nanometer --> 2.1E-09 Meter (Check conversion ​here)
Work Function of Surface of Metal: 100 Joule --> 100 Joule No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V0 = ([hP]*[c])/(λ*[Charge-e])-phi/[Charge-e] --> ([hP]*[c])/(2.1E-09*[Charge-e])-100/[Charge-e]
Evaluating ... ...
V0 = -6.24150912899977E+20
STEP 3: Convert Result to Output's Unit
-6.24150912899977E+20 Volt --> No Conversion Required
FINAL ANSWER
-6.24150912899977E+20 -6.2E+20 Volt <-- Stopping Potential
(Calculation completed in 00.020 seconds)

Credits

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Created by Rudrani Tidke
Cummins College of Engineering for Women (CCEW), Pune
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8 Photoelectric Effect Calculators

Stopping Potential
​ Go Stopping Potential = ([hP]*[c])/(Wavelength*[Charge-e])-Work Function of Surface of Metal/[Charge-e]
Maximum Kinetic Energy of Ejected Photo-Electron
​ Go Max Kinetic Energy of Ejected Photo-Electron = [hP]*Frequency of Photon-Work Function of Surface of Metal
Photon's Energy using Wavelength
​ Go Photon Energy = [hP]*[c]/Wavelength
Threshold Frequency in Photoelectric Effect
​ Go Threshold Frequency = Work Function of Surface of Metal/[hP]
Photon's Energy using Frequency
​ Go Photon Energy = [hP]*Frequency of Photon
Photon's Momentum using Energy
​ Go Photon's Momentum = Photon Energy/[c]
Photon's Momentum using Wavelength
​ Go Photon's Momentum = [hP]/Wavelength
De Broglie Wavelength
​ Go Wavelength = [hP]/Photon's Momentum

Stopping Potential Formula

Stopping Potential = ([hP]*[c])/(Wavelength*[Charge-e])-Work Function of Surface of Metal/[Charge-e]
V0 = ([hP]*[c])/(λ*[Charge-e])-phi/[Charge-e]

What is stopping potential in photoelectric effect?

The stopping voltage (or stopping potential) refers to the voltage difference required to stop electrons from moving between plates and creating a current in the photoelectric experiment. Recall that in the photoelectric experiment, light is directed onto a metal plate and if the frequency of light is high enough, electrons are ejected from the surface. These electrons then travel to a second metal plate found directly across. The minimum amount of energy that is required to eject an electron from the metal surface is known as the work function. The maximum kinetic energy that the ejected electron has is given by subtracting the work function from the energy found in one photon of light. The stopping voltage is readily used to determine the kinetic energy that the electrons have as they are ejected from the metal plate. The product of the charge on an electron and the stopping voltage gives us the maximum kinetic energy of that ejected electron.

How to Calculate Stopping Potential?

Stopping Potential calculator uses Stopping Potential = ([hP]*[c])/(Wavelength*[Charge-e])-Work Function of Surface of Metal/[Charge-e] to calculate the Stopping Potential, The Stopping Potential formula is defined as the required potential for stopping the removal of an electron from a metal surface when the incident light energy is greater than the work potential of the metal on which the incident light is focused. Stopping Potential is also known as cut-off-potential. Stopping Potential is denoted by V0 symbol.

How to calculate Stopping Potential using this online calculator? To use this online calculator for Stopping Potential, enter Wavelength (λ) & Work Function of Surface of Metal (phi) and hit the calculate button. Here is how the Stopping Potential calculation can be explained with given input values -> -6.2E+20 = ([hP]*[c])/(2.1E-09*[Charge-e])-100/[Charge-e].

FAQ

What is Stopping Potential?
The Stopping Potential formula is defined as the required potential for stopping the removal of an electron from a metal surface when the incident light energy is greater than the work potential of the metal on which the incident light is focused. Stopping Potential is also known as cut-off-potential and is represented as V0 = ([hP]*[c])/(λ*[Charge-e])-phi/[Charge-e] or Stopping Potential = ([hP]*[c])/(Wavelength*[Charge-e])-Work Function of Surface of Metal/[Charge-e]. Wavelength is the distance between identical points (adjacent crests) in the adjacent cycles of a waveform signal propagated in space or along a wire & Work Function of Surface of Metal is nothing but the binding energy of electron to the particular material.
How to calculate Stopping Potential?
The Stopping Potential formula is defined as the required potential for stopping the removal of an electron from a metal surface when the incident light energy is greater than the work potential of the metal on which the incident light is focused. Stopping Potential is also known as cut-off-potential is calculated using Stopping Potential = ([hP]*[c])/(Wavelength*[Charge-e])-Work Function of Surface of Metal/[Charge-e]. To calculate Stopping Potential, you need Wavelength (λ) & Work Function of Surface of Metal (phi). With our tool, you need to enter the respective value for Wavelength & Work Function of Surface of Metal and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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