1. What is the Wavelength Equation?

The wavelength equation converts frequency to wavelength for electromagnetic waves. It's based on the relationship between the speed of light, frequency, and wavelength.

2. How Does the Calculator Work?

The calculator uses the wavelength equation:

Where:

• \( \lambda \) — Wavelength in nanometers (nm)
• \( f \) — Frequency in hertz (Hz)
• \( 3 \times 10^8 \) — Speed of light in meters per second (m/s)
• \( 10^9 \) — Conversion factor from meters to nanometers

Explanation: The equation calculates the wavelength by dividing the speed of light by the frequency, then converting the result from meters to nanometers.

3. Importance of Wavelength Calculation

Details: Calculating wavelength from frequency is essential in physics, engineering, and telecommunications for understanding electromagnetic wave properties and designing systems that use different parts of the spectrum.

4. Using the Calculator

Tips: Enter frequency in hertz (Hz). The value must be positive and non-zero. The calculator will output the corresponding wavelength in nanometers (nm).

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between frequency and wavelength?
A: They are inversely proportional - as frequency increases, wavelength decreases, and vice versa.

Q2: What are typical frequency ranges for visible light?
A: Visible light ranges from about 430 THz (red) to 750 THz (violet), corresponding to wavelengths of 700 nm to 400 nm.

Q3: Can this calculator be used for all electromagnetic waves?
A: Yes, it works for any frequency in the electromagnetic spectrum, from radio waves to gamma rays.

Q4: Why convert to nanometers?
A: Nanometers are a convenient unit for measuring wavelengths of visible light, UV, and X-rays.

Q5: How accurate is this calculation?
A: It's theoretically exact for electromagnetic waves in a vacuum. In other media, the speed of light would be different.