1. What is the Energy Equation?

The energy equation \( E = h \times f \) calculates the energy of a photon based on its frequency, where \( h \) is Planck's constant and \( f \) is the frequency of the radiation. This fundamental equation in quantum mechanics relates the particle and wave properties of electromagnetic radiation.

2. How Does the Calculator Work?

The calculator uses the energy equation:

Where:

• \( E \) — Energy of the photon (Joules)
• \( h \) — Planck's constant (6.62607015 × 10⁻³⁴ J·s)
• \( f \) — Frequency of the radiation (Hz)

Explanation: The equation shows that the energy of electromagnetic radiation is directly proportional to its frequency.

3. Importance of Energy Calculation

Details: Calculating photon energy is essential in quantum physics, spectroscopy, and understanding atomic and molecular transitions. It helps determine the type of radiation and its potential effects.

4. Using the Calculator

Tips: Enter the frequency in Hertz (Hz). The frequency must be a positive value. The result will be given in Joules (J).

5. Frequently Asked Questions (FAQ)

Q1: What is Planck's constant?
A: Planck's constant (h) is a fundamental physical constant that relates the energy of a photon to its frequency, with a value of approximately 6.626 × 10⁻³⁴ J·s.

Q2: How is frequency related to wavelength?
A: Frequency and wavelength are inversely related through the speed of light: \( c = \lambda \times f \), where c is speed of light and λ is wavelength.

Q3: What are typical frequency values for atomic radiation?
A: Atomic radiation frequencies typically range from 10¹⁴ Hz (visible light) to 10²⁰ Hz (gamma rays).

Q4: Can this equation be used for all electromagnetic radiation?
A: Yes, the equation applies to all electromagnetic radiation from radio waves to gamma rays.

Q5: How is this energy related to electron volts (eV)?
A: To convert from Joules to electron volts, divide by the elementary charge (≈1.602 × 10⁻¹⁹ J/eV).