1. What is the Wavelength Formula?

The wavelength formula calculates the distance between consecutive crests of a wave using the speed of light and frequency. It's fundamental in physics, particularly in optics and electromagnetism.

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 the inverse relationship between wavelength and frequency - as frequency increases, wavelength decreases, and vice versa.

3. Importance of Wavelength Calculation

Details: Calculating wavelength is essential for understanding light behavior, designing optical systems, telecommunications, spectroscopy, and many applications in physics and engineering.

4. Using the Calculator

Tips: Enter frequency in Hertz (Hz). The value must be greater than 0. The calculator uses the constant speed of light (3×10^8 m/s).

5. Frequently Asked Questions (FAQ)

Q1: Why is the speed of light constant in this formula?
A: In vacuum, light always travels at approximately 3×10^8 m/s, regardless of frequency or wavelength, as established by Einstein's theory of relativity.

Q2: How does wavelength relate to color?
A: For visible light, different wavelengths correspond to different colors. Violet has the shortest wavelength (~380-450 nm) while red has the longest (~620-750 nm).

Q3: Can this formula be used for other waves?
A: Yes, the general formula λ = v/f applies to all waves, where v is the wave velocity. For light in vacuum, v equals c.

Q4: What are typical wavelength values?
A: Visible light wavelengths range from 380-750 nm. Radio waves can be kilometers long, while gamma rays have picometer wavelengths.

Q5: How does medium affect wavelength?
A: When light enters a different medium, its speed changes, which changes its wavelength while frequency remains constant.