1. What is Planck's Equation?

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

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 essential in quantum physics, spectroscopy, photochemistry, and understanding electromagnetic radiation properties across different frequencies.

4. Using the Calculator

Tips: Enter frequency in hertz (Hz). The value must be valid (frequency > 0). 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.

Q2: What are typical frequency values?
A: Frequency values range from radio waves (kHz-MHz) to visible light (hundreds of THz) to gamma rays (exahertz and beyond).

Q3: How is this equation used in real applications?
A: It's used in spectroscopy to identify elements, in photovoltaic cells to calculate photon energy, and in quantum computing research.

Q4: Can this equation be used for all electromagnetic radiation?
A: Yes, Planck's equation applies to all photons across the electromagnetic spectrum, from radio waves to gamma rays.

Q5: What's the relationship between energy and wavelength?
A: Energy is inversely proportional to wavelength (E = hc/λ), where c is the speed of light and λ is wavelength.