Convert Wavelength to Frequency Calculator

Frequency Formula:

\[ f = \frac{c}{\lambda} \]

Frequency (Hz):

1. What is a Wavelength to Frequency Calculator?

Definition: This calculator converts wavelength to frequency using the speed of light.

Purpose: It helps scientists, engineers, and students determine the frequency of electromagnetic waves when the wavelength is known.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ f = \frac{c}{\lambda} \]

Where:

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

Explanation: The speed of light is divided by the wavelength to calculate the frequency of the wave.

3. Importance of Wavelength-Frequency Conversion

Details: Understanding the relationship between wavelength and frequency is crucial in fields like radio communication, optics, and quantum physics.

4. Using the Calculator

Tips: Enter the wavelength in meters and the speed of light (default 300,000,000 m/s). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for wavelength?
A: The calculator expects wavelength in meters. Convert from other units (nm, μm) before entering.

Q2: Why is the speed of light set to 3 × 10⁸ m/s?
A: This is the approximate speed of light in a vacuum, which is 299,792,458 m/s (often rounded to 3 × 10⁸ m/s).

Q3: Does this work for all electromagnetic waves?
A: Yes, the formula applies to all EM waves from radio to gamma rays.

Q4: What if I need to calculate wavelength from frequency?
A: Simply rearrange the formula: λ = c/f.

Q5: How precise are the results?
A: Results are precise to 3 decimal places by default. For more precision, use scientific notation.