1. What is the Wavelength-Frequency Relation?

The wavelength-frequency relation describes the fundamental relationship between these two properties of waves, where frequency equals the speed of light divided by wavelength. This applies to all electromagnetic waves in a vacuum.

2. How Does the Calculator Work?

The calculator uses the wavelength-frequency equation:

Where:

• \( f \) — Frequency (Hz)
• \( c \) — Speed of light (3×10⁸ m/s)
• \( \lambda \) — Wavelength (m)

Explanation: This equation shows the inverse relationship between wavelength and frequency - as wavelength increases, frequency decreases, and vice versa.

3. Importance of Wavelength-Frequency Calculation

Details: Understanding this relationship is crucial in fields like telecommunications, optics, astronomy, and any application involving electromagnetic radiation.

4. Using the Calculator

Tips: Enter wavelength in meters. The value must be greater than zero. The calculator will compute the corresponding frequency.

5. Frequently Asked Questions (FAQ)

Q1: Does this formula work for all types of waves?
A: This specific formula with the speed of light applies to electromagnetic waves. For other wave types, the speed value would be different.

Q2: What are typical wavelength values for visible light?
A: Visible light wavelengths range from approximately 380 nm (violet) to 750 nm (red), which is 3.8×10⁻⁷ m to 7.5×10⁻⁷ m.

Q3: How does medium affect this relationship?
A: In different media, the speed of light changes, which affects the wavelength while frequency remains constant.

Q4: Can I calculate wavelength from frequency?
A: Yes, the formula can be rearranged as λ = c/f to calculate wavelength from frequency.

Q5: What is the relationship between energy and frequency?
A: For photons, energy is directly proportional to frequency (E = hf, where h is Planck's constant).