1. What is the Energy to Wavelength Formula?

The energy to wavelength formula 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 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 (joules)

Explanation: This formula converts energy of a photon to its corresponding wavelength using fundamental physical constants.

3. Importance of Wavelength Calculation

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

4. Using the Calculator

Tips: Enter energy in joules. The value must be positive and greater than zero. The result will be 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 this formula be used for all electromagnetic radiation?
A: Yes, this formula applies to all photons across the electromagnetic spectrum, from radio waves to gamma rays.

Q3: What if I have energy in electronvolts (eV)?
A: Convert eV to joules first (1 eV = 1.602×10⁻¹⁹ J) before using this calculator.

Q4: Why is the result in meters usually very small?
A: Photon energies are extremely small in joules, resulting in wavelengths typically in the nanometer to micrometer range for visible and infrared light.

Q5: What are the physical constants used?
A: Planck's constant (h = 6.626×10⁻³⁴ J·s) and speed of light (c = 3×10⁸ m/s) are fundamental physical constants.