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What Is The Calculation For Wavelength Of Radiation

Wavelength Formula:

\[ \lambda = \frac{c}{f} \]

Hz

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1. What is Wavelength of Radiation?

Wavelength (λ) is the distance between successive crests of a wave, especially points in a sound wave or electromagnetic wave. For electromagnetic radiation, it determines the type of radiation (radio, microwave, infrared, visible light, ultraviolet, X-ray, gamma ray).

2. How Does the Calculator Work?

The calculator uses the wavelength formula:

\[ \lambda = \frac{c}{f} \]

Where:

Explanation: The formula shows the inverse relationship between wavelength and frequency - higher frequency radiation has shorter wavelengths, and vice versa.

3. Importance of Wavelength Calculation

Details: Calculating wavelength is essential in various fields including telecommunications, astronomy, medical imaging, and spectroscopy. It helps determine the properties and applications of different types of electromagnetic radiation.

4. Using the Calculator

Tips: Enter frequency in Hertz (Hz). The value must be greater than 0. The calculator will automatically use the speed of light constant (3×10⁸ m/s) to compute the wavelength.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between wavelength and frequency?
A: Wavelength and frequency have an inverse relationship. As frequency increases, wavelength decreases, and vice versa, when the speed of wave propagation is constant.

Q2: What are typical wavelength ranges for different types of radiation?
A: Radio waves: >1m, Microwaves: 1mm-1m, Infrared: 700nm-1mm, Visible light: 400-700nm, Ultraviolet: 10-400nm, X-rays: 0.01-10nm, Gamma rays: <0.01nm.

Q3: Why is the speed of light constant in vacuum?
A: The speed of light in vacuum (c = 3×10⁸ m/s) is a fundamental physical constant that remains the same regardless of the motion of the source or observer.

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

Q5: Can this formula be used for sound waves?
A: While the formula λ = v/f applies to all waves, for sound waves you would use the speed of sound (approximately 343 m/s in air) instead of the speed of light.

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