Q10.18 Two towers on top of two hills are 40 km apart. The line joining them passes 50 m above a hill halfway between the towers. What is the longest wavelength of radio waves, which can be sent between the towers without appreciable diffraction effects?

Answers (1)
P Pankaj Sanodiya

Given,

Distance between two towers = 40km

size of aperture = a=50m

Now,

As we know

Fresnel's distance is equal to half of the distance between towers

Z_f=\frac{40}{2}=20km

 

Also from the formula:

Z_f=\frac{a^2}{\lambda}=20m

\lambda=\frac{a^2}{Z_f}=\frac{50^2}{20*10^3}=12.5cm

Hence this is the required longest wavelength of the radio wave, which can be sent in between the towers without considerable diffraction effect.

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