1. What is the Frequency Equation?

The frequency equation \( f = \frac{E}{h} \) calculates the frequency of a photon from its energy, where E is the energy in joules and h is Planck's constant (6.626 × 10⁻³⁴ J·s). This relationship is fundamental in quantum mechanics and photonics.

2. How Does the Calculator Work?

The calculator uses the frequency equation:

Where:

• \( f \) — Frequency (Hz)
• \( E \) — Energy (J)
• \( h \) — Planck's constant = 6.626 × 10⁻³⁴ J·s

Explanation: This equation demonstrates the direct proportionality between a photon's energy and its frequency, as described by Planck-Einstein relation.

3. Importance of Frequency Calculation

Details: Calculating frequency from energy is essential in various fields including quantum physics, spectroscopy, telecommunications, and photonics research. It helps determine the characteristics of electromagnetic radiation.

4. Using the Calculator

Tips: Enter energy value in joules. 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 (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 energy values for photons?
A: Photon energies range from about 10⁻²⁵ J for radio waves to 10⁻¹⁵ J for gamma rays, corresponding to frequencies from Hz to 10²⁰ Hz.

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

Q4: What are the units for frequency?
A: Frequency is measured in hertz (Hz), where 1 Hz = 1 cycle per second.

Q5: How accurate is this calculation?
A: The calculation is theoretically exact for individual photons, as it's derived from fundamental quantum mechanical principles.