Why Wavelength Shortens When Frequency Increases?Radio logic...

 

Understanding the relationship between wavelength and frequency is fundamental in the fields of physics and engineering. This relationship is crucial not only for those studying waves but also for anyone interested in telecommunications, optics, and even music. In this blog post, we will explore why wavelength shortens when frequency increases, and how this principle applies to various phenomena in our everyday lives.

(Spectrum of radio wavelength,pic source Google)


What Are Wavelength and Frequency?

Before diving into the relationship between the two, let’s clarify what we mean by wavelength and frequency:

  • Wavelength is the distance between consecutive peaks (or troughs) of a wave. It is usually measured in meters (m).
  • Frequency is the number of times a wave oscillates or cycles in one second. It is measured in hertz (Hz), where 1 Hz equals one cycle per second.

The relationship between these two concepts is encapsulated in the equation:

[ \text{Speed of Wave} = \text{Wavelength} \times \text{Frequency} ]

This equation tells us that the speed of a wave is the product of its wavelength and frequency.

The Inverse Relationship

From the equation above, we can derive that if the speed of the wave remains constant (which is often the case in a given medium), an increase in frequency must result in a decrease in wavelength. This inverse relationship can be mathematically expressed as:

[ \text{Wavelength} = \frac{\text{Speed of Wave}}{\text{Frequency}} ]

Example: Light Waves

To illustrate this relationship, let’s consider light waves. The speed of light in a vacuum is approximately (3 \times 10^8) meters per second (m/s). If we take a light wave with a frequency of (600 \text{ THz}) (terahertz), we can calculate its wavelength:

[ \text{Wavelength} = \frac{3 \times 10^8 \text{ m/s}}{600 \times 10^{12} \text{ Hz}} \approx 500 \text{ nm} ]

Now, if the frequency increases to (800 \text{ THz}):

[ \text{Wavelength} = \frac{3 \times 10^8 \text{ m/s}}{800 \times 10^{12} \text{ Hz}}

[ \approx 375 \text{ nm} ]

This demonstrates

how, as the frequency of light increases, its wavelength decreases, resulting in a shift from visible red light at 600 THz to ultraviolet light at 800 THz. This phenomenon not only highlights the fundamental principles of wave behavior but also plays a significant role in various applications, such as determining the color of light in optics and influencing the design of communication technologies that rely on different wavelengths.

(Radio Wavelength info, picture source -=-)


Understanding this relationship allows scientists and engineers to manipulate light and other waves for innovative solutions in fields ranging from medical imaging to fiber-optic communications.

Even these days many devices relay on radios waves

even items like TV, mobile phones and even microwave and many more...

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