1. What is Planck's Constant Equation?

Planck's equation, E = hf, relates the energy of a photon to its frequency, where h is Planck's constant (6.62607015 × 10⁻³⁴ J·s). This fundamental equation in quantum mechanics describes the quantized nature of energy.

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)
• \( f \) — 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 Planck's Equation

Details: This equation is fundamental to quantum mechanics and explains phenomena such as the photoelectric effect, black-body radiation, and the quantization of energy levels in atoms.

4. Using the Calculator

Tips: Enter the frequency in Hertz (Hz). The frequency must be a positive value greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the value of Planck's constant?
A: Planck's constant is approximately 6.62607015 × 10⁻³⁴ joule-seconds (J·s).

Q2: 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.

Q3: How is this related to the wavelength of light?
A: Using the relationship c = fλ (where c is the speed of light), the equation can also be written as E = hc/λ.

Q4: What are typical energy values for visible light?
A: For visible light (frequencies around 4.3-7.5 × 10¹⁴ Hz), photon energies range from about 1.8 to 3.3 electronvolts (2.9-5.3 × 10⁻¹⁹ J).

Q5: Why is Planck's constant so small?
A: Planck's constant is small because it relates macroscopic energy measurements to quantum-scale phenomena. Its small value reflects the fact that quantum effects become significant only at very small scales.