1. What is the Wavelength Formula?

The wavelength formula \( \lambda = \frac{v}{f} \) calculates the wavelength of a wave from its velocity and frequency. This fundamental physics equation is essential in various scientific fields including optics, acoustics, and electromagnetism.

2. How Does the Calculator Work?

The calculator uses the wavelength formula:

Where:

• \( \lambda \) — Wavelength (meters)
• \( v \) — Velocity of the wave (meters per second)
• \( f \) — Frequency of the wave (Hertz)

Explanation: The formula demonstrates the inverse relationship between frequency and wavelength - as frequency increases, wavelength decreases, and vice versa.

3. Importance of Wavelength Calculation

Details: Accurate wavelength calculation is crucial for designing communication systems, analyzing wave properties, understanding electromagnetic spectrum allocation, and various scientific research applications.

4. Using the Calculator

Tips: Enter velocity in meters per second and frequency in Hertz. Both values must be positive numbers. The calculator supports scientific notation input for very large or very small values.

5. Frequently Asked Questions (FAQ)

Q1: What is the velocity of light in vacuum?
A: The speed of light in vacuum is approximately 299,792,458 m/s (often rounded to 3.00 × 10⁸ m/s for calculations).

Q2: How does wavelength relate to energy?
A: For electromagnetic waves, shorter wavelengths correspond to higher energy photons according to the formula \( E = \frac{hc}{\lambda} \), where h is Planck's constant.

Q3: Can this formula be used for sound waves?
A: Yes, the formula applies to all types of waves, including sound waves, where velocity depends on the medium (approximately 343 m/s in air at 20°C).

Q4: What are typical frequency ranges?
A: Audio frequencies: 20 Hz - 20 kHz; Radio waves: 3 kHz - 300 GHz; Visible light: 430-750 THz; X-rays: 30 PHz - 30 EHz.

Q5: How to handle scientific notation inputs?
A: Enter numbers in standard format (e.g., 3e8 for 300,000,000) or use decimal notation. The calculator will process both formats correctly.