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  • A transmitting antenna has a height of 100 m .  If a radius of earth is 6400 Km , the range covered by the antenna will be nearly Option: 1</

A transmitting antenna has a height of 100 m . 

If a radius of earth is 6400 Km , the range covered by the antenna will be nearly 

Option: 1

40 Km^2


Option: 2

4000 m^2


Option: 3

4000 Km^2


Option: 4

400 Km^2


Answers (1)

best_answer

As we have learned

Area covered by antenna -

A=\pi d{_{T}}^{2}

= \pi \cdot Rh_{T}

- wherein

h_{T}= height of antenna

R= Radius of earth

 

 Range of antenna (d_T)=\sqrt{2R_eh_t}

= \sqrt{2\times 6400\times 10^3\times 100 m^2}\approx 3.57 \times 10 ^4m

Now area covered = \pi d_{T}^{2}

        \pi (3.57 \times 10 ^8)m^2\approx 40 \times 10 ^8 sqm\: \: or \: \: 4000\: \: sq km

 

 

 

 

 

Posted by

manish painkra

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