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Wave Optics

Question
CBSEENPH12038911

Communication in UHF/VHF regions can be established by space or tropospheric wave. Why is it restricted to or limited to line-of-sight distance of about 40 km?

Solution
For a range of 40 km, the height of the antenna is given by, 
                                 d = 2rh                                  h = d22r                                      = (40000)22×6.4×106                                      = 125 m 

The height of the antenna comes out to be 125 m for a range of 40 km. It is not practically possible to increase the height of the antenna greater than this value.