1. What is the Wave Energy Equation?

The wave energy equation \( E = h \times f \) calculates the energy of a photon or wave, where E is energy, h is Planck's constant, and f is frequency. This fundamental equation in quantum mechanics describes the energy of electromagnetic radiation.

2. How Does the Calculator Work?

The calculator uses the wave energy equation:

Where:

• \( E \) — Wave energy (Joules)
• \( h \) — Planck's constant (6.626 × 10⁻³⁴ J·s)
• \( f \) — Frequency (Hertz)

Explanation: The equation shows that energy is directly proportional to frequency, with Planck's constant as the proportionality factor.

3. Importance of Wave Energy Calculation

Details: Calculating wave energy is essential in quantum physics, spectroscopy, photochemistry, and understanding the behavior of light and other electromagnetic radiation.

4. Using the Calculator

Tips: Enter Planck's constant in J·s and frequency in Hz. Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is Planck's constant?
A: Planck's constant (6.626 × 10⁻³⁴ J·s) is a fundamental physical constant that relates the energy of a photon to its frequency.

Q2: How is frequency related to wavelength?
A: Frequency and wavelength are inversely related through the equation \( c = \lambda \times f \), where c is the speed of light and λ is wavelength.

Q3: What are typical energy values for visible light?
A: Visible light photons have energies ranging from approximately 1.65 eV to 3.26 eV (2.64 × 10⁻¹⁹ J to 5.22 × 10⁻¹⁹ J).

Q4: Can this equation be used for all types of waves?
A: This specific form \( E = h \times f \) is primarily used for electromagnetic waves in quantum mechanics, particularly for photons.

Q5: What are the units of measurement?
A: Energy is measured in Joules (J), Planck's constant in Joule-seconds (J·s), and frequency in Hertz (Hz).