1. What is the Wavelength Formula?

The wavelength formula calculates the distance between consecutive corresponding points of the same phase on a wave, such as crest-to-crest or trough-to-trough. It is a fundamental concept in wave physics and electromagnetic theory.

2. How Does the Calculator Work?

The calculator uses the wavelength formula:

Where:

• \( \lambda \) — Wavelength (meters)
• \( v \) — Wave velocity (meters per second)
• \( f \) — Frequency (Hertz)

Explanation: The formula shows that wavelength is inversely proportional to frequency - higher frequency waves have shorter wavelengths, and vice versa.

3. Importance of Wavelength Calculation

Details: Wavelength calculation is essential in various fields including telecommunications, optics, acoustics, and radio astronomy. It helps determine wave properties and behavior in different media.

4. Using the Calculator

Tips: Enter wave velocity in m/s and frequency in Hz. Both values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What units are used for wavelength?
A: Wavelength is typically measured in meters (m), though smaller units like nanometers (nm) are used for light waves.

Q2: How does medium affect wavelength?
A: When a wave enters a different medium, its velocity changes while frequency remains constant, causing wavelength to change accordingly.

Q3: What is the relationship between wavelength and energy?
A: For electromagnetic waves, shorter wavelengths correspond to higher energy photons (E = hc/λ).

Q4: Can this formula be used for all types of waves?
A: Yes, the formula applies to mechanical waves (sound, water) and electromagnetic waves (light, radio).

Q5: What is the speed of light in the wavelength formula?
A: For electromagnetic waves in vacuum, v = c = 3×10⁸ m/s, so λ = c/f.