1. What is Planck's Equation?

Planck's equation (E = hν) describes the relationship between the energy of a photon and its frequency. It was formulated by Max Planck and is fundamental to quantum mechanics, showing that energy is quantized and proportional to frequency.

2. How Does the Calculator Work?

The calculator uses Planck's equation:

Where:

• \( E \) — Energy of the photon (Joules)
• \( h \) — Planck's constant (6.62607015 × 10⁻³⁴ J·s)
• \( \nu \) — Frequency of the photon (Hertz)

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 crucial for understanding quantum phenomena, spectroscopy, photoelectric effect, and various applications in physics, chemistry, and engineering.

4. Using the Calculator

Tips: Enter frequency in Hertz (Hz). The value must be positive and greater than zero for valid calculation.

5. Frequently Asked Questions (FAQ)

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

Q2: What are typical frequency values?
A: Frequency values can range from radio waves (kHz-MHz) to visible light (10¹⁴-10¹⁵ Hz) to gamma rays (10¹⁹+ Hz).

Q3: Can this equation be used for all electromagnetic radiation?
A: Yes, Planck's equation applies to all electromagnetic radiation, from radio waves to gamma rays.

Q4: What are the units of energy?
A: Energy is calculated in Joules (J), though electronvolts (eV) are also commonly used in quantum physics.

Q5: How is this related to the photoelectric effect?
A: Planck's equation forms the basis for understanding the photoelectric effect, where photons with sufficient energy can eject electrons from a material.