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's used in physics, chemistry, and engineering to relate the energy of photons to their wavelength.

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 divided by the photon's energy gives its wavelength.

3. Importance of Wavelength Calculation

Details: Understanding this relationship is crucial in spectroscopy, quantum mechanics, and electromagnetic wave analysis.

4. Using the Calculator

Tips: Enter the photon energy in joules. Planck's constant and speed of light have default values but can be adjusted for precision calculations.

5. Frequently Asked Questions (FAQ)

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

Q2: Why is Planck's constant important?
A: It relates the energy of a photon to its frequency, serving as a fundamental constant in quantum mechanics.

Q3: Can I calculate energy from wavelength?
A: Yes, simply rearrange the formula: \( E = \frac{h \times c}{\lambda} \).

Q4: What's the typical wavelength range?
A: Visible light ranges from 380-750 nm (3.8-7.5 × 10⁻⁷ m), while X-rays are around 0.01-10 nm.

Q5: Does this work for all electromagnetic waves?
A: Yes, the relationship holds for all photons, from radio waves to gamma rays.