1. What is the Wavelength and Frequency Formula?

The wavelength and frequency formula describes the relationship between the wavelength (λ) of a wave, its frequency (f), and the speed of propagation (c). For electromagnetic waves in vacuum, the speed of light is constant at 3×10^8 m/s.

2. How Does the Calculator Work?

The calculator uses the wavelength formula:

Where:

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

Explanation: The formula shows that wavelength is inversely proportional to frequency - higher frequency waves have shorter wavelengths, and vice versa.

3. Importance of Wavelength Calculation

Details: Calculating wavelength is essential in various fields including telecommunications, optics, radio astronomy, and electromagnetic spectrum analysis. It helps determine wave properties and behavior in different media.

4. Using the Calculator

Tips: Enter frequency in Hertz (Hz). The value must be greater than 0. The calculator will compute the corresponding wavelength in meters using the speed of light constant.

5. Frequently Asked Questions (FAQ)

Q1: What is the speed of light in different media?
A: The speed of light varies in different media. In vacuum it's 3×10^8 m/s, but it slows down in materials like water, glass, or air.

Q2: Can this formula be used for sound waves?
A: Yes, but with a different speed constant. For sound waves, use the speed of sound in the specific medium instead of the speed of light.

Q3: What are typical frequency ranges?
A: Radio waves: 3 kHz-300 GHz, Microwaves: 300 MHz-300 GHz, Visible light: 400-790 THz, X-rays: 30 PHz-30 EHz.

Q4: How does wavelength affect wave behavior?
A: Longer wavelengths diffract more easily and penetrate obstacles better, while shorter wavelengths provide better resolution in imaging.

Q5: What is the relationship with energy?
A: For electromagnetic waves, energy is directly proportional to frequency and inversely proportional to wavelength (E = hf = hc/λ).