Question

# 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 broad casted from this tower in LOS(Line of Sight) mode? (Given : radius of earth $$= 6.4 \times 10^{6}m)$$.

A
80 km
B
48 km
C
40 km
D
65 km

Solution

## The correct option is C $$65\ km$$Maximum distance upto which signal can be broadcasted is$$d_{max} = \sqrt {2Rh_{T}} + \sqrt {2Rh_{R}}$$where $$h_{R}$$ and $$h_{R}$$ are heights of transmitter tower and height of receiver respectively.Putting all values -$$d_{max} = \sqrt {2\times 6.4\times 106} [\sqrt {104} + \sqrt {40}]$$on solving, $$d_{max} = 65\ km$$.Physics

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