1. What is the Photon Frequency Equation?

The photon frequency equation relates the energy of a photon to its frequency using Planck's constant. This fundamental relationship in quantum mechanics is given by \( f = \frac{E}{h} \), where \( f \) is frequency, \( E \) is energy, and \( h \) is Planck's constant.

2. How Does the Calculator Work?

The calculator uses the photon frequency equation:

Where:

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

Explanation: The equation shows that the frequency of a photon is directly proportional to its energy and inversely proportional to Planck's constant.

3. Importance of Photon Frequency Calculation

Details: Calculating photon frequency is essential in quantum physics, spectroscopy, and understanding electromagnetic radiation. It helps determine the color of light, energy transitions in atoms, and properties of electromagnetic waves.

4. Using the Calculator

Tips: Enter photon energy in joules and Planck's constant in J·s (default value provided). Both values must be positive numbers.

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 (6.62607015 × 10⁻³⁴ J·s).

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

Q3: What are typical photon energy values?
A: Visible light photons have energies between 2-3 eV (3.2-4.8 × 10⁻¹⁹ J). Higher frequencies (UV, X-rays) have more energy.

Q4: Why is this calculation important in quantum mechanics?
A: It demonstrates the particle-wave duality of light and is fundamental to understanding quantum energy levels.

Q5: Can this equation be used for all electromagnetic radiation?
A: Yes, it applies to all photons across the electromagnetic spectrum, from radio waves to gamma rays.