1. What is the Photon Energy To Wavelength Equation?

The photon energy to wavelength equation relates the energy of a photon to its wavelength using Planck's constant and the speed of light. This fundamental relationship is crucial in quantum mechanics and electromagnetic theory.

2. How Does the Calculator Work?

The calculator uses the equation:

Where:

• \( \lambda \) — Wavelength (meters)
• \( h \) — Planck's constant (6.626×10⁻³⁴ J s)
• \( c \) — Speed of light (3×10⁸ m/s)
• \( E \) — Photon energy (joules)

Explanation: This equation demonstrates the inverse relationship between photon energy and wavelength - higher energy photons have shorter wavelengths.

3. Importance of Wavelength Calculation

Details: Calculating photon wavelength is essential in spectroscopy, quantum physics, optical communications, and understanding electromagnetic radiation properties across different energy levels.

4. Using the Calculator

Tips: Enter photon energy in joules. The value must be positive and greater than zero. The result will be displayed in meters.

5. Frequently Asked Questions (FAQ)

Q1: What are typical energy values for visible light photons?
A: Visible light photons have energies ranging from approximately 1.65×10⁻¹⁹ J (red light) to 3.26×10⁻¹⁹ J (violet light).

Q2: How does this relate to photon frequency?
A: The equation can also be expressed as λ = c/ν, where ν is frequency, since E = hν.

Q3: What units are appropriate for photon energy?
A: While joules are the SI unit, electronvolts (eV) are commonly used in particle physics (1 eV = 1.602×10⁻¹⁹ J).

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

Q5: Why is Planck's constant important in this calculation?
A: Planck's constant is the fundamental proportionality constant that relates energy to frequency in quantum mechanics.