1. What is the Frequency Formula?

The frequency formula relates the speed of a wave to its wavelength. It is a fundamental equation in physics and engineering, particularly in wave mechanics and electromagnetic theory.

2. How Does the Calculator Work?

The calculator uses the frequency formula:

Where:

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

Explanation: The frequency of a wave is inversely proportional to its wavelength when the speed is constant.

3. Importance of Frequency Calculation

Details: Frequency calculation is essential in various fields including telecommunications, acoustics, optics, and radio astronomy. It helps in designing communication systems, musical instruments, and analyzing wave phenomena.

4. Using the Calculator

Tips: Enter the wave speed in meters per second and wavelength in meters. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is the speed of light in vacuum?
A: Approximately 299,792,458 m/s, often rounded to 3×10⁸ m/s for calculations.

Q2: How does frequency relate to energy?
A: For electromagnetic waves, energy is directly proportional to frequency (E = hf, where h is Planck's constant).

Q3: What are typical frequency ranges?
A: Audio frequencies: 20 Hz-20 kHz, Radio: 3 kHz-300 GHz, Visible light: 430-790 THz.

Q4: Can this formula be used for sound waves?
A: Yes, but remember sound speed varies with medium (343 m/s in air at 20°C).

Q5: What if I know frequency and need wavelength?
A: Rearrange the formula: λ = c/f.