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  • The TV transmission tower at a particular station has a height of . For doubling the coverage

The TV transmission tower at a particular station has a height of \mathrm{125 \mathrm{~m}}. For doubling the coverage of its range, the height of the tower should be increased by 

Option: 1

\mathrm{125 \mathrm{~m}}


Option: 2

\mathrm{250 \mathrm{~m}}


Option: 3

\mathrm{375 \mathrm{~m}}


Option: 4

\mathrm{500 \mathrm{~m}}


Answers (1)

best_answer

\mathrm{\operatorname{Range}(R) =\sqrt{2 h R_{e}} }\\

\mathrm{h \alpha R^{2}} \\

\mathrm{h^{\prime} =4 h} \\

\mathrm{=4 \times 125} \\

\mathrm{=500 \mathrm{~m}} \\

\mathrm{\Delta h=h^{\prime}-h =500-125} \\

                         \mathrm{=375 \mathrm{~m}}

Hence correct option is 3

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