Q160 / 160 · TS EAMCET 2022 (18 Jul Shift 1) · Physics

A TV transmission antenna is $40 m$ tall. How much service area it can cover if the receiving antenna is at the ground level?
(radius of the Earth $= 6400 km$ )

A
$640 π \times 10^{6} m^{2}$
Correct answer
B
$512 π \times 10^{6} m^{2}$
C
$480 π \times 10^{6} m^{2}$
D
$440 π \times 10^{6} m^{2}$

Solution

Range of Signal in Space Wave Propagation is given by, $Range = \sqrt{2 h R}$ .
Therefore, service area
$= π {(range)}^{2} = π {(\sqrt{2 h R})}^{2} = π \times 2 \times (6400 \times 10^{3}) (40) = 512 π \times 10^{6} m^{2}$

Hence, the correct answer is option: 'B'.

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A TV transmission antenna is 40 m tall. How much service area it can cover if the receiving antenna is at the ground level?(radius of the Earth =6400 km)

Solution

Relevant Questions

A TV transmission antenna is $40 m$ tall. How much service area it can cover if the receiving antenna is at the ground level?
(radius of the Earth $= 6400 km$ )