In quantum mechanics and electromagnetism, understanding the relationship between a wave's length, its frequency, and the energy of its photons is essential. Electromagnetic waves, ranging from low-frequency radio waves to high-frequency gamma rays, travel at the speed of light. The energy carried by a single photon of these waves is directly proportional to its frequency, a concept formalized by Max Planck that laid the groundwork for modern quantum physics.
Wave and Energy Formulas
Speed of Light (c): c = λ × ν (Wavelength × Frequency)
Photon Energy (E): E = h × ν or E = (h × c) / λ
Where h is Planck's constant (6.626 × 10⁻³⁴ J·s) and c is the speed of light (3 × 10⁸ m/s).
How to Use This Calculator
- Select the known variable you wish to input (Wavelength, Frequency, or Energy).
- Enter the precise numerical value.
- Select the appropriate unit (e.g., nanometers for wavelength, Hertz for frequency, Electronvolts or Joules for energy).
- Click Calculate to instantly solve for the remaining two physical properties.
Frequently Asked Questions (FAQ)
How are wavelength and frequency related?
They are inversely proportional. Because all electromagnetic waves travel at the same constant speed in a vacuum (the speed of light), a wave with a longer wavelength must have a lower frequency. Conversely, a shorter wavelength means a higher frequency.
What is a photon?
A photon is a fundamental particle of visible light and all other forms of electromagnetic radiation. It has zero rest mass and travels at the speed of light. Its energy is entirely dictated by its frequency; high-frequency X-rays have highly energetic photons, while low-frequency radio waves have low-energy photons.