1. What is the Wavelength Equation?

The wavelength equation calculates the wavelength of electromagnetic waves using the formula λ = c/f, where λ is wavelength, c is the speed of light (3×10⁸ m/s), and f is frequency. This fundamental physics equation relates the wave's physical length to its frequency.

2. How Does the Calculator Work?

The calculator uses the wavelength equation:

Where:

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

Explanation: The equation shows the inverse relationship between wavelength and frequency - higher frequency waves have shorter wavelengths, and vice versa.

3. Importance of Wavelength Calculation

Details: Calculating wavelength is essential in optics, telecommunications, astronomy, and various fields of physics. It helps determine the properties of electromagnetic radiation across the spectrum from radio waves to gamma rays.

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.

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, commonly approximated as 3×10⁸ m/s for calculations.

Q2: Can this equation be used for all electromagnetic waves?
A: Yes, the equation applies to all electromagnetic radiation including visible light, radio waves, microwaves, X-rays, and gamma rays.

Q3: What are typical wavelength ranges?
A: Visible light ranges from 380-750 nm, radio waves can be kilometers long, while gamma rays have wavelengths smaller than atoms.

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

Q5: Can I calculate frequency from wavelength?
A: Yes, the equation can be rearranged as f = c/λ to calculate frequency from a known wavelength.