1. What is the Energy to Wavelength Equation?

The 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 spectroscopy.

2. How Does the Calculator Work?

The calculator uses the energy to wavelength equation:

Where:

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

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 essential in spectroscopy, quantum physics, photochemistry, and various applications involving electromagnetic radiation.

4. Using the Calculator

Tips: Enter the photon energy in joules (J). The calculator will show the step-by-step calculation and the resulting wavelength in meters.

5. Frequently Asked Questions (FAQ)

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

Q2: Can this equation be used for all types of electromagnetic radiation?
A: Yes, this equation applies to all photons across the electromagnetic spectrum, from radio waves to gamma rays.

Q3: How do I convert the result to nanometers?
A: Multiply the result in meters by 10⁹ to convert to nanometers (1 m = 10⁹ nm).

Q4: What if I have energy in electronvolts (eV) instead of joules?
A: Convert eV to joules first (1 eV = 1.602×10⁻¹⁹ J) before using the calculator.

Q5: Why is the speed of light constant in this equation?
A: The speed of light in vacuum is a fundamental physical constant (c = 299,792,458 m/s, often approximated as 3×10⁸ m/s).