1. What is Energy of a Wavelength Calculator?

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

Purpose: It helps physicists, chemists, and students understand the quantum energy associated with electromagnetic radiation of specific wavelengths.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: The energy of a photon is inversely proportional to its wavelength - shorter wavelengths correspond to higher energy photons.

3. Importance of Energy Calculation

Details: This calculation is fundamental in quantum mechanics, spectroscopy, and understanding electromagnetic radiation across the spectrum from radio waves to gamma rays.

4. Using the Calculator

Tips: Enter the wavelength in meters (e.g., 500 nm = 5e-7 m). The calculator uses fixed values for Planck's constant and speed of light.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for wavelength?
A: The calculator requires meters. Convert nanometers (1 nm = 10⁻⁹ m) or other units before entering.

Q2: Can I calculate wavelength from energy?
A: Yes, by rearranging the formula: λ = (h × c)/E.

Q3: Why is the energy value so small?
A: Individual photons carry very small amounts of energy. Results are typically in joules (10⁻¹⁹ scale) or electronvolts (1 eV = 1.602 × 10⁻¹⁹ J).

Q4: Does this work for all electromagnetic radiation?
A: Yes, the formula applies across the entire EM spectrum, from radio waves to gamma rays.

Q5: How accurate is this calculation?
A: It's theoretically exact for individual photons in a vacuum. Real-world measurements may vary slightly due to medium effects.