1. What is the Wavelength Formula?

The wavelength formula calculates the distance between consecutive crests of a wave using the speed of light and frequency. It's fundamental in physics and electromagnetic theory.

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 the inverse relationship between wavelength and frequency - higher frequencies result in shorter wavelengths.

3. Importance of Wavelength Calculation

Details: Wavelength calculation is essential in optics, telecommunications, radio astronomy, and understanding electromagnetic spectrum properties for various applications.

4. Using the Calculator

Tips: Enter frequency in Hertz (Hz). The value must be positive and greater than zero for valid calculation.

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, often approximated as 3 × 10^8 m/s for calculations.

Q2: 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.

Q3: What are typical wavelength ranges?
A: Radio waves: 1mm-100km, Visible light: 380-750nm, X-rays: 0.01-10nm, Gamma rays: less than 0.01nm.

Q4: Can this formula be used for sound waves?
A: Yes, but replace speed of light with speed of sound (approximately 343 m/s in air at 20°C).

Q5: Why is wavelength important in communication?
A: Different wavelengths are used for different communication technologies (radio, microwave, fiber optics) based on their propagation characteristics.