1. What is the Frequency-Wavelength Relationship?

The fundamental relationship between frequency and wavelength is described by the equation f = c/λ, where f is frequency, c is the speed of light (3×10^8 m/s), and λ is wavelength. This equation applies to all electromagnetic waves including light, radio waves, and microwaves.

2. How Does the Calculator Work?

The calculator uses the frequency-wavelength equation:

Where:

• \( f \) — Frequency (Hz)
• \( c \) — Speed of light (3×10^8 m/s)
• \( \lambda \) — Wavelength (m)

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

3. Importance of Frequency Calculation

Details: Calculating frequency from wavelength is essential in various fields including telecommunications, optics, astronomy, and electromagnetic spectrum analysis. It helps determine wave properties and applications.

4. Using the Calculator

Tips: Enter wavelength in meters (m). The value must be positive and greater than zero. The calculator will automatically compute the corresponding frequency in hertz (Hz).

5. Frequently Asked Questions (FAQ)

Q1: What is the speed of light value used?
A: The calculator uses c = 3×10^8 m/s, which is the standard speed of light in vacuum.

Q2: Can I use different units for wavelength?
A: The calculator requires meters. Convert other units (nm, μm, cm) to meters before calculation (1 m = 10^9 nm = 10^6 μm = 100 cm).

Q3: What frequency ranges are typical?
A: Radio waves: 3 kHz-300 GHz, Microwaves: 300 MHz-300 GHz, Infrared: 300 GHz-430 THz, Visible light: 430-750 THz, UV: 750 THz-30 PHz.

Q4: Does this apply to sound waves?
A: No, this equation is for electromagnetic waves. For sound waves, use f = v/λ where v is the speed of sound (≈343 m/s in air).

Q5: Why is frequency important?
A: Frequency determines wave properties like energy (E = hf), penetration ability, and applications in communication, medical imaging, and spectroscopy.