1. What is Planck's Equation?

Planck's equation relates the energy of a photon to its wavelength. It's a fundamental equation in quantum mechanics that describes the particle-like properties of electromagnetic waves.

2. How Does the Calculator Work?

The calculator uses Planck's equation:

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 equation shows that energy is inversely proportional to wavelength - shorter wavelengths correspond to higher energy photons.

3. Importance of Energy Calculation

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

4. Using the Calculator

Tips: Enter wavelength in meters. For visible light (400-700 nm), convert nanometers to meters by multiplying by 10⁻⁹. Values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What are typical photon energies?
A: Visible light photons have energies of about 3-5 × 10⁻¹⁹ J. X-rays are around 10⁻¹⁵ J, while radio waves can be as low as 10⁻²⁴ J.

Q2: How does energy relate to frequency?
A: The equivalent form is E = hν where ν is frequency. Higher frequency means higher energy.

Q3: Why is the result in scientific notation?
A: Photon energies are extremely small numbers, so scientific notation provides clearer representation.

Q4: Can I calculate wavelength from energy?
A: Yes, the equation can be rearranged to λ = hc/E.

Q5: What are the practical applications?
A: Used in designing lasers, analyzing atomic spectra, calculating photovoltaic cell efficiency, and understanding radiation effects.