1. What is a Wavelength and Frequency Calculator?

Definition: This calculator converts between wavelength and frequency for electromagnetic waves using the wave equation.

Purpose: It helps scientists, engineers, and students quickly convert between these fundamental wave properties.

2. How Does the Calculator Work?

The calculator uses the fundamental wave equations:

Where:

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

Explanation: Enter any two values to calculate the third. The speed of light in vacuum is the default, but can be changed for other wave types.

3. Importance of Wavelength-Frequency Conversion

Details: Understanding the relationship between wavelength and frequency is crucial in fields like radio communications, optics, and acoustics.

4. Using the Calculator

Tips: Enter any two values (wavelength, frequency, or speed) to calculate the third. The speed defaults to 3×10⁸ m/s (speed of light).

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: Wavelength in meters, frequency in Hz, and speed in m/s. For other units, convert first.

Q2: Does this work for sound waves?
A: Yes, but change the speed to ~343 m/s (speed of sound in air at 20°C).

Q3: How precise are the calculations?
A: Very precise - wavelength is calculated to 9 decimal places, frequency to 2.

Q4: Why is the speed of light the default?
A: This calculator is most commonly used for electromagnetic waves like light and radio.

Q5: Can I calculate energy from these values?
A: Not directly - you'd need Planck's equation (E = hf) for photon energy.