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AIIMS 2011

Exam: AIIMS
Year: 2011
Subject: Physics
Chapter: Communication System

AIIMS 2011 · Physics · Communication System

The area covered by a transmitting antenna of height 50 ~m is

The area covered by a transmitting antenna of height

50 \mathrm{~m}

is

Options

A $320 \pi \mathrm{km}^2$
B $1440 \mathrm{~km}^2$
C $640 \pi \mathrm{km}^2$
D $120 \pi \mathrm{km}^2$

Correct answer

C. $640 \pi \mathrm{km}^2$

Step-by-step solution

Here,

h=50 \mathrm{ m}

Area covered

=\pi d^2=\pi \times 2 h R \quad

\left(\becaused^

2=

2 h R\right)

where

R=6.4 \times10^6 \mathrm{ m} (radius

of

earth)

\begin{aligned} \therefore \quad \text{ area covered } =\pi \times2 h R=\pi \times2 \times50 \times6.4 \times10^6 \\ & =640 \pi \times10^6 \mathrm{ m}^2=640 \pi \mathrm{km}^2 \end{aligned}

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