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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,┬аd┬а= 40 km

Height ofthe line joining the hills,┬аd┬а=50 m.

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

Since thehill is located halfway between the towers, FresnelтАЩs distance can be obtainedas:

ZP┬а=20 km = 2 ├Ч 104┬аm

Aperturecan be taken as:

a┬а=┬аd┬а= 50 m

FresnelтАЩsdistance is given by the relation,

Where,

╬╗ =Wavelength of radio waves

Therefore, the wavelength of theradio waves is 12.5 cm.

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