Planck-s-Constant

Planck Constant Virtual Lab

Overview

The Planck Constant Virtual Lab is a web-based interactive simulation designed to help users understand the photoelectric effect and calculate Planck’s constant (h) and the work function (ɸ) of a given metallic film. Users can experiment with different light wavelengths and observe their effects on stopping potential and current.

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Features

• Interactive Experimentation: Users can select different wavelengths of light and observe their effects.
• Graphical Representation: The Stopping Voltage vs 1/λ graph visually represents the relationship between light frequency and stopping potential.
• Data Table: Displays values for wavelength, inverse wavelength, and stopping potential.
• Formula Reference: Shows the mathematical equation used for calculations.
• Result Calculation: Displays the calculated values of Planck’s constant (h) and the work function (ɸ).
• Visual Light Representation: Lights up elements based on the selected wavelength.

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Technology Stack

• HTML, CSS: For webpage structure and styling.
• JavaScript: For interactive functionality and calculations.
• Chart.js: For generating the graph.

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How to Use

1. Open the index.html file in a web browser.
2. Click the buttons on the left panel to display different sections:
   • Aim: Displays the objective of the experiment.
   • Formula: Shows the equation used in the experiment.
   • Table: Displays the experiment data.
   • Graph: Shows a graph of stopping voltage vs. 1/wavelength.
   • Result: Displays the final calculated values of Planck’s constant and the work function.
   • Light: Simulates the light emission effect.
3. Use the Wavelength Dropdown to select a wavelength and observe the corresponding voltage and light color change.

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Calculation Details

Formula Used

[ v_0 = \frac{h}{e \cdot \nu} - \phi ]
where:

• ( v_0 ) = Stopping potential (V)
• ( h ) = Planck’s constant (Js)
• ( e ) = Charge of an electron (Coulombs)
• ( \nu ) = Frequency of incident light (Hz)
• ( \phi ) = Work function of the metallic film (eV)

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Future Improvements

• Implement real-time graph updates based on user-selected wavelength.
• Add custom input options for user-defined values.
• Enhance UI responsiveness for better mobile compatibility.