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Formula To Calculate Maximum Kinetic Energy

Maximum Kinetic Energy Formula:

\[ KE_{max} = e \times V_{stop} \]

C
V

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1. What Is The Maximum Kinetic Energy Formula?

The maximum kinetic energy formula (KE_max = e × V_stop) calculates the maximum kinetic energy of photoelectrons in the photoelectric effect, where e is the elementary charge and V_stop is the stopping potential.

2. How Does The Calculator Work?

The calculator uses the maximum kinetic energy formula:

\[ KE_{max} = e \times V_{stop} \]

Where:

Explanation: This formula directly relates the stopping potential needed to prevent the most energetic photoelectrons from reaching the anode to their maximum kinetic energy.

3. Importance Of KE_max Calculation

Details: Calculating maximum kinetic energy is essential for understanding the photoelectric effect, determining the work function of materials, and verifying quantum theory predictions.

4. Using The Calculator

Tips: Enter the elementary charge (typically 1.6 × 10⁻¹⁹ C) and the stopping potential in volts. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is the elementary charge constant important?
A: The elementary charge represents the fundamental unit of electric charge and is crucial for converting between electronvolts and joules.

Q2: What is the stopping potential?
A: The stopping potential is the minimum reverse voltage needed to prevent the most energetic photoelectrons from reaching the collector electrode.

Q3: How does this relate to the photoelectric effect?
A: This formula is derived from the photoelectric equation: KE_max = hν - Φ, where hν is photon energy and Φ is the work function.

Q4: Can this formula be used for other applications?
A: While primarily used in photoelectric effect calculations, the relationship between energy and potential is fundamental in various areas of physics.

Q5: Why is the result in electronvolts?
A: Electronvolts are a convenient energy unit in atomic and particle physics, representing the energy gained by an electron moving through 1 volt of potential difference.

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