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 E is energy in joules, h is Planck's constant (6.626 × 10⁻³⁴ J·s), and f is frequency in hertz.

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, with Planck's constant as the proportionality factor.

3. Importance of Energy Calculation

Details: Calculating photon energy is fundamental in quantum mechanics, spectroscopy, photochemistry, and understanding electromagnetic radiation properties across different frequencies.

4. Using the Calculator

Tips: Enter frequency in hertz (Hz). The value must be positive and greater than zero. 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 frequency ranges are typically used?
A: This equation applies across the electromagnetic spectrum, from radio waves (kHz-MHz) to visible light (10¹⁴-10¹⁵ Hz) to gamma rays (10¹⁹+ Hz).

Q3: Can this calculate energy for multiple photons?
A: This equation calculates energy per single photon. For multiple photons, multiply the result by the number of photons.

Q4: How does wavelength relate to this calculation?
A: Since frequency = speed of light / wavelength, you can also calculate energy using E = h × c / λ, where c is light speed and λ is wavelength.

Q5: What are typical energy values for visible light?
A: Visible light photons have energies around 3-4 × 10⁻¹⁹ J, corresponding to frequencies of about 4.5-7.5 × 10¹⁴ Hz.