1. What is the Wavelength to Frequency Formula?

The wavelength to frequency formula describes the relationship between the wavelength of electromagnetic waves and their frequency. It is a fundamental equation in physics that applies to all types of electromagnetic radiation, including light, radio waves, and microwaves.

2. How Does the Calculator Work?

The calculator uses the wavelength to frequency formula:

Where:

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

Explanation: The formula 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 various fields including telecommunications, optics, astronomy, and spectroscopy. It helps determine the energy and properties of electromagnetic waves.

4. Using the Calculator

Tips: Enter wavelength in meters (m). The value must be greater than 0. The calculator will automatically compute the corresponding frequency in Hertz (Hz).

5. Frequently Asked Questions (FAQ)

Q1: What is the speed of light constant?
A: The speed of light in vacuum is exactly 299,792,458 m/s, but is commonly approximated as 3×10⁸ m/s for calculations.

Q2: Can this formula be used for sound waves?
A: No, this specific formula is for electromagnetic waves. For sound waves, the formula is f = v/λ, where v is the speed of sound.

Q3: What are typical wavelength ranges?
A: Visible light: 380-750 nm, Radio waves: 1 mm-100 km, X-rays: 0.01-10 nm, Gamma rays: less than 0.01 nm.

Q4: How does wavelength relate to energy?
A: Energy is inversely proportional to wavelength (E = hc/λ), so shorter wavelengths correspond to higher energy radiation.

Q5: What units should I use for wavelength?
A: The calculator expects meters, but you can convert from other units: 1 nm = 10⁻⁹ m, 1 μm = 10⁻⁶ m, 1 mm = 10⁻³ m.