1. What is the Frequency-Wavelength Relationship?

The frequency-wavelength relationship describes how the frequency of a light wave is inversely proportional to its wavelength. This fundamental relationship in physics is governed by the speed of light in a vacuum.

2. How Does the Calculator Work?

The calculator uses the frequency-wavelength equation:

Where:

• \( f \) — Frequency in Hertz (Hz)
• \( c \) — Speed of light (299,792,458 m/s)
• \( \lambda \) — Wavelength in meters (m)

Explanation: As wavelength increases, frequency decreases proportionally, maintaining the constant speed of light.

3. Importance of Frequency Calculation

Details: Calculating frequency from wavelength is essential in optics, telecommunications, spectroscopy, and understanding electromagnetic radiation across the spectrum from radio waves to gamma rays.

4. Using the Calculator

Tips: Enter the wavelength in meters (e.g., 550 nm = 5.5 × 10⁻⁷ m). The calculator will output the corresponding frequency in Hertz.

5. Frequently Asked Questions (FAQ)

Q1: What is the speed of light in a vacuum?
A: The exact value is 299,792,458 meters per second (approximately 3 × 10⁸ m/s).

Q2: Does this work for all electromagnetic waves?
A: Yes, the relationship applies to all EM waves in a vacuum. In other media, the speed changes slightly.

Q3: How do I convert nanometers to meters?
A: 1 nanometer (nm) = 10⁻⁹ meters. Multiply nm value by 10⁻⁹ to get meters.

Q4: What's the frequency range of visible light?
A: Approximately 430-750 THz (4.3 × 10¹⁴ to 7.5 × 10¹⁴ Hz).

Q5: Why is frequency important in light?
A: Frequency determines the light's color (visible spectrum) and energy (E = hf, where h is Planck's constant).