Stopping Potential Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stopping Potential = ([hP]*[c])/([Charge-e])*(1/Wavelength)-Work Function/[Charge-e]
V0 = ([hP]*[c])/([Charge-e])*(1/λ)-ϕ/[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 the minimum potential required to stop the emission of electrons from a metal surface when it is illuminated with light of a certain frequency.
Wavelength - (Measured in Meter) - Wavelength is the distance between two consecutive peaks or troughs of a light wave, which is a measure of the length of a photon in a periodic wave pattern.
Work Function - (Measured in Joule) - Work Function is the minimum energy required to remove an electron from a solid, typically a metal, to a point outside the solid, at a given temperature and pressure.
STEP 1: Convert Input(s) to Base Unit
Wavelength: 2.1 Nanometer --> 2.1E-09 Meter (Check conversion ​here)
Work Function: 9.4E-17 Joule --> 9.4E-17 Joule No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V0 = ([hP]*[c])/([Charge-e])*(1/λ)-ϕ/[Charge-e] --> ([hP]*[c])/([Charge-e])*(1/2.1E-09)-9.4E-17/[Charge-e]
Evaluating ... ...
V0 = 3.6990821517121
STEP 3: Convert Result to Output's Unit
3.6990821517121 Volt --> No Conversion Required
FINAL ANSWER
3.6990821517121 3.699082 Volt <-- Stopping Potential
(Calculation completed in 00.004 seconds)

Credits

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Created by Rudrani Tidke
Cummins College of Engineering for Women (CCEW), Pune
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St Joseph's College (SJC), Bengaluru
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8 Photoelectric Effect Calculators

Stopping Potential
​ Go Stopping Potential = ([hP]*[c])/([Charge-e])*(1/Wavelength)-Work Function/[Charge-e]
Maximum Kinetic Energy of Ejected Photo-Electron
​ Go Max Kinetic Energy = [hP]*Frequency of Photon-Work Function
Photon's Energy using Wavelength
​ Go Photon Energy = ([hP]*[c])/Wavelength
Photon's Energy using Frequency
​ Go Max Kinetic Energy = [hP]*Frequency of Photon
Threshold Frequency in Photoelectric Effect
​ Go Threshold Frequency = Work Function/[hP]
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])/([Charge-e])*(1/Wavelength)-Work Function/[Charge-e]
V0 = ([hP]*[c])/([Charge-e])*(1/λ)-ϕ/[Charge-e]

What is stopping potential in photoelectric effect?

Stopping potential in the photoelectric effect is the minimum voltage needed to stop the most energetic photoelectrons emitted from a material when exposed to light. It helps determine the maximum kinetic energy of the emitted electrons and is directly related to the energy of the incident photons.

How to Calculate Stopping Potential?

Stopping Potential calculator uses Stopping Potential = ([hP]*[c])/([Charge-e])*(1/Wavelength)-Work Function/[Charge-e] to calculate the Stopping Potential, Stopping Potential formula is defined as a measure of the minimum voltage required to stop the emission of electrons from a metal surface when it is illuminated with light of a certain frequency, and is a fundamental concept in understanding the photoelectric effect. 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 (ϕ) and hit the calculate button. Here is how the Stopping Potential calculation can be explained with given input values -> 3.699082 = ([hP]*[c])/([Charge-e])*(1/2.1E-09)-9.4E-17/[Charge-e].

FAQ

What is Stopping Potential?
Stopping Potential formula is defined as a measure of the minimum voltage required to stop the emission of electrons from a metal surface when it is illuminated with light of a certain frequency, and is a fundamental concept in understanding the photoelectric effect and is represented as V0 = ([hP]*[c])/([Charge-e])*(1/λ)-ϕ/[Charge-e] or Stopping Potential = ([hP]*[c])/([Charge-e])*(1/Wavelength)-Work Function/[Charge-e]. Wavelength is the distance between two consecutive peaks or troughs of a light wave, which is a measure of the length of a photon in a periodic wave pattern & Work Function is the minimum energy required to remove an electron from a solid, typically a metal, to a point outside the solid, at a given temperature and pressure.
How to calculate Stopping Potential?
Stopping Potential formula is defined as a measure of the minimum voltage required to stop the emission of electrons from a metal surface when it is illuminated with light of a certain frequency, and is a fundamental concept in understanding the photoelectric effect is calculated using Stopping Potential = ([hP]*[c])/([Charge-e])*(1/Wavelength)-Work Function/[Charge-e]. To calculate Stopping Potential, you need Wavelength (λ) & Work Function (ϕ). With our tool, you need to enter the respective value for Wavelength & Work Function 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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