1. What is the Wavelength from Energy Equation?

The wavelength from energy equation calculates the wavelength of electromagnetic radiation from its energy using Planck's constant and the speed of light. This fundamental physics relationship is essential 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 (joules)

Explanation: This equation derives from the fundamental relationship between energy and frequency (E = h·f) and the wave equation (c = λ·f).

3. Importance of Wavelength Calculation

Details: Calculating wavelength from energy is crucial in spectroscopy, quantum physics, photochemistry, and various applications involving electromagnetic radiation analysis and measurement.

4. Using the Calculator

Tips: Enter energy in joules (J). The value must be positive and non-zero. The calculator will compute the corresponding wavelength in meters.

5. Frequently Asked Questions (FAQ)

Q1: What are typical energy values for visible light?
A: Visible light photons have energies around 3-4×10⁻¹⁹ J, corresponding to wavelengths of 400-700 nm.

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

Q3: What is the relationship to frequency?
A: Wavelength and frequency are inversely related through the speed of light: λ = c/f, where f is frequency.

Q4: Does this work for all electromagnetic radiation?
A: Yes, this equation applies to all forms of electromagnetic radiation, from radio waves to gamma rays.

Q5: Why is Planck's constant important?
A: Planck's constant relates the energy of a photon to its frequency, making it fundamental to quantum mechanics.