1. What is the Wavelength Formula?

The wavelength formula calculates the distance between consecutive crests of a wave. For electromagnetic waves, it relates frequency to wavelength through the speed of light.

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 that wavelength is inversely proportional to frequency - higher frequencies have shorter wavelengths.

3. Importance of Wavelength Calculation

Details: Calculating wavelength is essential in fields like telecommunications, radio broadcasting, optics, and astronomy. It helps determine the properties of electromagnetic waves and their interactions with matter.

4. Using the Calculator

Tips: Enter frequency in Hertz (Hz). The value must be greater than 0. The calculator will output 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, but is commonly approximated as 3×10^8 m/s for calculations.

Q2: Can this calculator be used for sound waves?
A: No, this calculator is specifically for electromagnetic waves. For sound waves, you would need to use the speed of sound instead of the speed of light.

Q3: What are typical wavelength ranges?
A: Radio waves have wavelengths from millimeters to kilometers, visible light from 380-750 nanometers, and gamma rays have wavelengths smaller than atoms.

Q4: How does wavelength relate to energy?
A: Shorter wavelengths correspond to higher energy photons according to the formula E = hc/λ, where h is Planck's constant.

Q5: Can I calculate frequency from wavelength?
A: Yes, you can rearrange the formula to f = c/λ to calculate frequency from wavelength.