1. What is the Speed of Light Equation?

Definition: This equation relates the speed of light in a vacuum to the frequency and wavelength of electromagnetic waves.

Purpose: It's fundamental in physics for understanding electromagnetic radiation, including visible light, radio waves, and X-rays.

2. How Does the Equation Work?

The equation is expressed as:

Where:

• \( c \) — Speed of light (299,792,458 m/s in vacuum)
• \( f \) — Frequency of the electromagnetic wave (Hz)
• \( \lambda \) — Wavelength of the electromagnetic wave (m)

Explanation: The product of frequency and wavelength always equals the speed of light for electromagnetic waves in a vacuum.

3. Importance of the Speed of Light Equation

Details: This equation is crucial in fields like telecommunications, astronomy, quantum physics, and relativity. It helps determine properties of light and other electromagnetic waves.

4. Using the Calculator

Tips: Enter any two known values to calculate the third. All values must be > 0. The calculator assumes vacuum conditions.

5. Frequently Asked Questions (FAQ)

Q1: Is the speed of light always the same?
A: In a vacuum, yes (299,792,458 m/s). In other media, light travels slower and the speed depends on the medium's refractive index.

Q2: What's the relationship between frequency and wavelength?
A: They are inversely proportional - higher frequency means shorter wavelength, and vice versa.

Q3: Can this calculator be used for sound waves?
A: No, this is specific to electromagnetic waves. Sound waves follow v = fλ but with much lower speeds.

Q4: What are typical values for visible light?
A: Visible light ranges from about 400-700 nm wavelength (4×10⁻⁷ to 7×10⁻⁷ m) and 430-750 THz frequency.

Q5: Why is the speed of light important in relativity?
A: Einstein's theory of relativity establishes c as the ultimate speed limit and shows how space and time relate at high velocities.