1. What is Wavelength from Energy Calculator?

Definition: This calculator determines the wavelength of electromagnetic radiation based on its energy using Planck's equation.

Purpose: It helps physicists, chemists, and students convert between energy and wavelength for photons and other electromagnetic waves.

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 of the photon (joules)

Explanation: The product of Planck's constant and speed of light is divided by the photon's energy to determine its wavelength.

3. Importance of Wavelength Calculation

Details: Knowing the wavelength helps identify the type of electromagnetic radiation (visible light, X-rays, radio waves, etc.) and is crucial in spectroscopy, quantum mechanics, and optical technologies.

4. Using the Calculator

Tips: Enter the energy in joules, Planck's constant (default 6.626 × 10⁻³⁴ J·s), and speed of light (default 3 × 10⁸ m/s). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for energy?
A: The calculator expects energy in joules. For electronvolts (eV), first convert to joules (1 eV = 1.602 × 10⁻¹⁹ J).

Q2: Can I calculate energy from wavelength?
A: Yes, simply rearrange the formula: \( E = \frac{h \times c}{\lambda} \).

Q3: Why is Planck's constant so small?
A: Planck's constant relates the energy of a photon to its frequency, and at the quantum scale, these values are extremely small.

Q4: Does this work for all electromagnetic waves?
A: Yes, the formula applies to all photons, from radio waves to gamma rays.

Q5: How precise are the default constants?
A: The defaults are good for most calculations, but for high-precision work, use more exact values (h = 6.62607015 × 10⁻³⁴ J·s, c = 299792458 m/s).