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 upto which signals can be broadcasted from this tower in LOS (Line of Sight) mode? (Given : radius of earth = 6.4 × 10⁶ m).
(A) 65 km (B) 48 km
(C) 80 km (D) 40 km
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Answer:
(A) 65 km
Explanation:
Maximum distance upto which signal can be broadcasted is
d max = √2RhT + √2RhR
where hT and hR are heights of transmitter tower and height of receiver respectively.
Putting all values ,
d max = √2×6.4×106 [ √104 + √40 ]
on solving,
d max = 65 km
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