1. What is the Wavelength from Energy Equation?

The wavelength from energy equation relates the energy of a photon to its wavelength using Planck's constant and the speed of light. This fundamental physics relationship is widely used in quantum mechanics and spectroscopy.

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)
• \( E \) — Energy of the photon (joules)

Explanation: The equation shows that higher energy photons have shorter wavelengths, and vice versa.

3. Importance of Wavelength Calculation

Details: Calculating wavelength from energy is essential in spectroscopy, quantum physics, and understanding electromagnetic radiation. It helps determine the type of radiation (radio, microwave, visible light, X-rays, etc.) based on its energy.

4. Using the Calculator

Tips: Enter the photon energy in joules. The value must be positive. For typical atomic transitions, energies are often in the range of 10⁻¹⁹ to 10⁻¹⁸ joules.

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 (E = hν).

Q2: Can I use electron volts (eV) instead of joules?
A: Yes, but you'll need to convert eV to joules first (1 eV = 1.602 × 10⁻¹⁹ J).

Q3: What's the wavelength range for visible light?
A: Approximately 380-750 nanometers (3.8-7.5 × 10⁻⁷ m), corresponding to photon energies of about 1.65-3.26 eV.

Q4: Why is the speed of light important in this equation?
A: The equation derives from the relationship between a photon's energy and frequency (E = hν) combined with the wave equation (c = λν).

Q5: Can this be used for particles other than photons?
A: For particles with mass, you need to use the de Broglie wavelength equation instead.