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Question

Frequency in UHF range propagated by means of

This question was previously asked in
UGC NET 2014 Paper 1 Question Paper (28-Dec-2014)
The correct answer is

Space wave

 Each propagation mechanism owns a band, and UHF (300 MHz to 3 GHz) belongs to the space wave — option 2.

ModeBandMechanismRange
Ground / surface waveVLF – MF, below ~2 MHzFollows the earth's curvature, guided by the conducting groundUp to ~100 km
Sky waveHF, 3 – 30 MHzRefracted back by the ionosphereThousands of km
Space waveVHF and above, > 30 MHzDirect line of sight plus ground reflectionRadio horizon

Why the ionosphere stops working at UHF. A wave is returned only if its frequency is below the critical frequency for the angle of incidence,

\(f_{MUF}=\dfrac{f_{c}}{\cos\theta}\)

and the maximum usable frequency rarely exceeds about 30 MHz. A UHF wave passes straight through the ionosphere and into space — a defect for terrestrial links but exactly what makes UHF and above the bands used for satellite communication.

Why the ground wave also fails. Surface-wave attenuation rises steeply with frequency, because the wave induces currents in the ground and the loss grows as the skin depth shrinks. Below 2 MHz the ground guides the wave for hundreds of kilometres; at UHF it is absorbed within metres.

What is left is the space wave, which travels in a straight line from transmitting to receiving antenna, together with a ray reflected from the ground. Its range is set by the radio horizon:

\(d\ \text{(km)}=4.12\left(\sqrt{h_{t}}+\sqrt{h_{r}}\right)\qquad h\ \text{in metres}\)

the factor 4.12 rather than 3.57 reflecting the slight downward refraction of the atmosphere, which extends the radio horizon about a third beyond the optical one.

The practical consequences are familiar: UHF television and mobile services need tall masts and a dense network of sites, coverage stops at the horizon, and the same line-of-sight property allows the same frequency to be reused a few tens of kilometres away — the basis of cellular planning.

Hence, UHF propagates as a space wave.

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