1. What is the Frequency Equation?

The frequency equation \( f = \frac{c}{\lambda} \) relates the frequency of a photon to its wavelength and the speed of light. It's fundamental in wave mechanics and quantum physics.

2. How Does the Calculator Work?

The calculator uses the frequency equation:

Where:

• \( f \) — Frequency (Hz)
• \( c \) — Speed of light (m/s)
• \( \lambda \) — Wavelength (m)

Explanation: The equation shows that frequency is inversely proportional to wavelength - as wavelength increases, frequency decreases, and vice versa.

3. Importance of Frequency Calculation

Details: Calculating photon frequency is essential in spectroscopy, quantum mechanics, and understanding electromagnetic radiation properties.

4. Using the Calculator

Tips: Enter the speed of light (default is 299,792,458 m/s) and wavelength in meters. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical range of photon frequencies?
A: Photon frequencies range from radio waves (few Hz) to gamma rays (10²⁰ Hz and above).

Q2: How does frequency relate to photon energy?
A: Energy is directly proportional to frequency (E = hf, where h is Planck's constant).

Q3: Can this equation be used for all electromagnetic waves?
A: Yes, it applies to all EM radiation in a vacuum. In other media, speed changes with refractive index.

Q4: Why is the speed of light constant in the equation?
A: In vacuum, light speed is a fundamental constant (299,792,458 m/s) independent of observer motion.

Q5: How precise should my wavelength measurement be?
A: Precision depends on application. For visible light, nanometers (10⁻⁹ m) are typically used.