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Q.

A TV transmission tower has a height of 140 m and the height of the receiving antenna is 40 m. What is the maximum distance up to which signals can be broadcasted from this tower in LOS( Line Of Sight) mode? ( Take radius of earth R=6.4×106m )

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a

65 km

b

80 km

c

40 km

d

48 km

answer is A.

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Detailed Solution

Maximum distance of transmission is given by   d=2RhT+2RhR Where,  hT= height of transmission = 140 m                   hR= height of receiver = 40 m                    R = radius of earth  =6.4×106m      Substituting the values , we get d=2×6.4×106140+40 ==357711.832+6.324=64944m=65 km
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