1. What is Planck's Equation?

Planck's equation (E = h × f) describes the relationship between the energy of a photon and its frequency, where h is Planck's constant (6.626 × 10⁻³⁴ J·s) and f is the frequency of the electromagnetic wave.

2. How Does the Calculator Work?

The calculator uses Planck's equation:

Where:

• \( E \) — Energy in joules (J)
• \( h \) — Planck's constant (6.626 × 10⁻³⁴ J·s)
• \( f \) — Frequency in hertz (Hz)

Explanation: The equation shows that the energy of a photon is directly proportional to its frequency. Higher frequency photons carry more energy.

3. Importance of Energy Calculation

Details: Calculating photon energy is fundamental in quantum mechanics, spectroscopy, photochemistry, and understanding electromagnetic radiation across the spectrum from radio waves to gamma rays.

4. Using the Calculator

Tips: Enter frequency in hertz (Hz). The value must be positive and valid. The calculator will compute the corresponding energy in joules.

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 in quantum mechanics.

Q2: What are typical frequency values?
A: Frequency values vary widely: radio waves (kHz-MHz), visible light (400-790 THz), X-rays (30 PHz-30 EHz), gamma rays (>30 EHz).

Q3: Can this equation be used for all electromagnetic radiation?
A: Yes, Planck's equation applies to all photons across the electromagnetic spectrum.

Q4: How is this related to wavelength?
A: Since frequency and wavelength are related by c = λf (where c is speed of light), the equation can also be written as E = hc/λ.

Q5: What are practical applications of this calculation?
A: Used in designing lasers, analyzing spectral lines, calculating photon energies in medical imaging, and understanding quantum phenomena.