Which of the following is True for signal travelling through a Wave-Guide?

Explanation:

Waveguide and Guide Wavelength

A waveguide is a physical structure that guides electromagnetic waves from one point to another. It is commonly used for high-frequency signal transmission, such as microwave and RF (radio frequency) signals.

The guide wavelength refers to the wavelength of the signal within the waveguide, which differs from the wavelength in free space due to the boundary conditions imposed by the waveguide structure.

Guide Wavelength Formula:

The relationship between the guide wavelength (λ_g), the free space wavelength (λ₀), and the cutoff wavelength (λ_c) is given by the formula:

λ_g = λ₀ / √(1 - (λ₀ / λ_c)²)

Where:

• λ_g: Guide wavelength
• λ₀: Free space wavelength (c/f, where c is the speed of light and f is the frequency)
• λ_c: Cutoff wavelength of the waveguide, determined by its dimensions and the operating mode

From this equation, it is evident that λ_g is always longer than λ₀ when the operating frequency is above the cutoff frequency (ensuring wave propagation).

The correct option is: Option 1: Guide wavelength is longer than free space wavelength.