1. What is the Frequency Equation?

The frequency equation relates the frequency of a wave to its wavelength and the speed at which the wave travels. For electromagnetic waves in a vacuum, the speed is the speed of light (c ≈ 3×10⁸ m/s).

2. How Does the Calculator Work?

The calculator uses the frequency equation:

Where:

• \( f \) — Frequency in Hertz (Hz)
• \( c \) — Speed of the wave (m/s)
• \( \lambda \) — Wavelength (meters)

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 frequency from wavelength is essential in physics, engineering, and telecommunications for designing systems that use electromagnetic waves.

4. Using the Calculator

Tips: Enter wavelength in meters and speed in m/s (default is speed of light). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between frequency and wavelength?
A: They are inversely proportional - higher frequency means shorter wavelength, and vice versa.

Q2: What are typical units for frequency?
A: Hertz (Hz) is the standard unit, with common multiples being kHz, MHz, GHz.

Q3: Does this equation work for all types of waves?
A: Yes, but the speed value (c) changes depending on the medium and wave type.

Q4: What's the speed of light in different units?
A: Approximately 3×10⁸ m/s, 3×10¹⁰ cm/s, or 186,000 miles per second.

Q5: How does frequency relate to energy?
A: For electromagnetic waves, energy is directly proportional to frequency (E = hf, where h is Planck's constant).