1. What is the Wavelength Formula?

The wavelength formula calculates the distance between consecutive crests of a wave. It is a fundamental equation in physics that relates wavelength (λ) to the speed of light (c) and frequency (f).

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 in vacuum)
• \( f \) — Frequency (Hz)

Explanation: The formula shows that wavelength is inversely proportional to frequency - higher frequencies result in shorter wavelengths.

3. Importance of Wavelength Calculation

Details: Calculating wavelength is essential in various fields including optics, radio communications, acoustics, and quantum mechanics. It helps determine the properties of electromagnetic waves and their interactions with matter.

4. Using the Calculator

Tips: Enter frequency in Hertz (Hz) and the speed of light in m/s (default is 300,000,000 m/s for vacuum). All values must be valid (frequency > 0, speed > 0).

5. Frequently Asked Questions (FAQ)

Q1: What is the standard speed of light value?
A: In vacuum, the speed of light is exactly 299,792,458 m/s, but 3×10^8 m/s is commonly used for calculations.

Q2: How does wavelength change in different media?
A: Wavelength decreases when light enters a medium with a higher refractive index, though frequency remains constant.

Q3: What are typical wavelength ranges?
A: Radio waves can have wavelengths of kilometers, while gamma rays have wavelengths smaller than atoms.

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

Q5: How is wavelength related to energy?
A: For electromagnetic waves, shorter wavelengths correspond to higher energy photons according to E = hc/λ.