1. What is the Energy to Frequency Equation?

The energy to frequency equation relates the energy of a photon to its frequency using Planck's constant. This fundamental relationship in quantum mechanics is given by \( f = \frac{E}{h} \), where \( h \) is Planck's constant (6.626 × 10^-34 J·s).

2. How Does the Calculator Work?

The calculator uses the energy-frequency relation:

Where:

• \( f \) — Frequency in Hertz (Hz)
• \( E \) — Energy in Joules (J)
• \( h \) — Planck's constant (6.626 × 10^-34 J·s)

Explanation: The equation shows that frequency is directly proportional to energy, with Planck's constant as the proportionality factor.

3. Importance of Frequency Calculation

Details: This calculation is essential in quantum physics, spectroscopy, and photonics for determining the frequency of electromagnetic radiation corresponding to a given energy.

4. Using the Calculator

Tips: Enter energy in joules (J). The value must be positive. Planck's constant is fixed at 6.626 × 10^-34 J·s.

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 energy values for photons?
A: Visible light photons have energies around 10^-19 J, while X-ray photons have energies around 10^-15 J.

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

Q4: How precise is this calculation?
A: The calculation is theoretically exact, though practical measurements of energy may have experimental uncertainties.

Q5: What's the relationship between frequency and wavelength?
A: Frequency and wavelength are related by \( c = \lambda f \), where c is the speed of light and λ is wavelength.