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JEE Main 20238 AprilMorning Shift

Exam: JEE Main
Year: 2023
Date: 8 April
Shift: Morning Shift
Subject: Physics
Chapter: Communication System

JEE Main 2023 · 8 April · Morning Shift · Physics · Communication System

A TV transmitting antenna is 98m high and the receiving antenna is...

A TV transmitting antenna is

98m

high and the receiving antenna is at the ground level. If the radius of the earth is

6400km,

the surface area covered by the transmitting antenna is approximately:

Options

A $1240{km}^{2}$
B $3942{km}^{2}$
C $4868{km}^{2}$
D $1549{km}^{2}$

Correct answer

B. $3942{km}^{2}$

Step-by-step solution

The given data is
$H = 98m$
$R = 6400km$
The line of sight formula for an antenna is
$d = \sqrt{2RH}$
$⇒$ Area $= \pi{d}^{2} = \pi \times 2 \times R \times h$ $= 2 \times 6400 \times 98 \times {10}^{- 3} \times \pi = 3940{km}^{2}$

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