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A TV transmission tower has height of 140m and the height of recieving antenna is 40m. What is the maximum disatnce upto which signals can be broadcasted from this tower in LOS(line of sight) mode?

(Given : radius of earth = 6.4 X 106 m)

 

  • Option 1)

    65 km

  • Option 2)

    48 km

  • Option 3)

    80 km

  • Option 4)

    40 km

Answers (1)

best_answer

 

Range of transmitting antenna -

d_{T}= \sqrt{2h_{T}R}


 

- wherein

h_{T}= height of antenna

R= Radius of earth

 

let   d_{max}= maximum distance upto which signal can be braodcasted.

so, d_{max}= \sqrt{2Rh_{r}}+\sqrt{2Rh_{R}}

Where ,R = Radius of earth 

              h_{T}= Height of transmitter

             h_{r} = Height of Receiver

So, 

d_{max}=\sqrt{2\times 6.4\times 10^{6}}(\sqrt{140}+\sqrt{40})

d_{max}=65\; km 

 

 


Option 1)

65 km

Option 2)

48 km

Option 3)

80 km

Option 4)

40 km

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