1. What is the Energy from Wavelength Equation?

The energy from wavelength equation calculates the energy of a photon based on its wavelength using Planck's constant and the speed of light. This fundamental physics equation is widely used in quantum mechanics and spectroscopy.

2. How Does the Calculator Work?

The calculator uses the energy from wavelength equation:

Where:

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

Explanation: The equation shows the inverse relationship between photon energy and wavelength - shorter wavelengths correspond to higher energy photons.

3. Importance of Energy Calculation

Details: Calculating photon energy is essential in fields like quantum physics, spectroscopy, photochemistry, and optical engineering. It helps determine photon interactions with matter.

4. Using the Calculator

Tips: Enter the wavelength in meters (for example, visible light is about 400-700 nm or 4e-7 to 7e-7 m). The wavelength must be greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What are typical wavelength values?
A: Visible light: 400-700 nm (4e-7 to 7e-7 m), X-rays: ~0.01-10 nm, Radio waves: 1 mm to 100 km.

Q2: How does energy relate to frequency?
A: Energy can also be calculated as E = h × ν where ν is frequency. Frequency and wavelength are related by c = λ × ν.

Q3: Why is the energy value so small?
A: Planck's constant is extremely small (6.626e-34), so photon energies are tiny when measured in joules. Scientists often use electronvolts (eV) for atomic-scale energies.

Q4: Can this calculate energy for any electromagnetic wave?
A: Yes, the equation applies to all electromagnetic radiation from gamma rays to radio waves.

Q5: What's the energy of a photon with 500 nm wavelength?
A: About 3.98 × 10⁻¹⁹ J or 2.48 eV (visible green light).