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NTA Abhyas 2020

Exam: NTA Abhyas
Year: 2020
Subject: Physics
Chapter: Communication System

NTA Abhyas 2020 · Physics · Communication System

The area of the region covered by the TV broadcast, by a TV tower...

The area of the region covered by the TV broadcast, by a TV tower of

100m

height is (Take, the radius of the earth,

{R}_{e} = 6.4 \times {10}^{6}m

)

Options

A $12.8 \pi \times {10}^{8}{km}^{2}$
B $1.28 \pi \times {10}^{3}{km}^{2}$
C $0.64 \pi \times {10}^{3}{km}^{2}$
D $1.28 \times {10}^{3}{km}^{2}$

Correct answer

B. $1.28 \pi \times {10}^{3}{km}^{2}$

Step-by-step solution

Given, the height of the tower,

h = 100m

The radius of the earth,

{R}_{e} = 6.4 \times {10}^{6}m

Since we know,

the area covered by the TV tower,

A = 2\pi{R}_{e}h

= 2\pi \times 6.4 \times {10}^{6} \times 100

= 12.8\pi \times {10}^{8}m^{2}

= 1.28\pi \times {10}^{3}{km}^{2}

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