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Question -

Two towers on top of two hillsare 40 km apart. The line joining them passes 50 m above a hill halfway betweenthe towers. What is the longest wavelength of radio waves, which can be sentbetween the towers without appreciable diffraction effects?



Answer -

Distance between the towers, = 40 km

Height ofthe line joining the hills, d =50 m.

Thus, theradial spread of the radio waves should not exceed 50 km.

Since thehill is located halfway between the towers, Fresnel’s distance can be obtainedas:

ZP =20 km = 2 × 104 m

Aperturecan be taken as:

d = 50 m

Fresnel’sdistance is given by the relation,

Where,

λ =Wavelength of radio waves

Therefore, the wavelength of theradio waves is 12.5 cm.

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