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Wave Optics

Question
CBSEENPH12038984

Name the type of waves which are used for line of sight (LOS) communication. What is the range of their frequencies? 

A transmitting antenna at the top of a tower has a height of 20 m and the height of the receiving antenna is 45 m. Calculate the maximum distance between them for satisfactory communication in LOS mode. (Radius of the Earth = 6.4 × 106 m)

Solution

Types of waves are:

 i) space waves

 ii) radio waves

 iii) microwave
The frequency range for LOS communication is 40 MHz.

Given,

Height of the transmitting antenna, h = 20 m

Height of receiving antenna = 45 m
So, maximum distance between transmitting antenna and receiving antenna is given by,
straight d subscript max space equals space square root of 2 Rh subscript straight T end root space minus space square root of 2 Rh subscript straight R end root space

space space space space space space space space space equals space square root of 2 space straight x space 6.4 space straight x space 10 to the power of 6 straight x 20 end root space plus space square root of 2 straight x 6.4 straight x 10 to the power of 6 straight x 45 end root

space space space space space space space space space equals space left parenthesis 16 space plus space 24 right parenthesis space straight x space 10 cubed space straight m space

space space space space space space space space space equals space 40 space km