1. What is the Wavelength Calculation Formula?

The wavelength calculation formula relates the energy of a photon to its wavelength using Planck's constant and the speed of light. This fundamental relationship is essential in quantum mechanics and spectroscopy.

2. How Does the Calculator Work?

The calculator uses the wavelength formula:

Where:

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

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

3. Importance of Wavelength Calculation

Details: Calculating wavelength from energy is crucial in spectroscopy, quantum physics, and understanding electromagnetic radiation across the spectrum from radio waves to gamma rays.

4. Using the Calculator

Tips: Enter the photon energy in joules. The calculator will compute the corresponding wavelength in meters using the fundamental constants of physics.

5. Frequently Asked Questions (FAQ)

Q1: What are typical energy values for visible light?
A: Visible light photons have energies between approximately 1.65-3.26 eV (2.64-5.22 × 10⁻¹⁹ J).

Q2: How does wavelength relate to color?
A: Different wavelengths correspond to different colors: violet (~380-450 nm), blue (~450-495 nm), green (~495-570 nm), yellow (~570-590 nm), orange (~590-620 nm), and red (~620-750 nm).

Q3: Can I use electronvolts instead of joules?
A: Yes, but you'll need to convert first (1 eV = 1.602 × 10⁻¹⁹ J).

Q4: What is the range of wavelengths this calculator can handle?
A: The calculator works for any positive energy value, corresponding to wavelengths from extremely short (gamma rays) to very long (radio waves).

Q5: Why are the results in meters?
A: The SI unit for wavelength is meters, but you can convert to nanometers (1 m = 10⁹ nm) or other units as needed.