InterviewSolution
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InterviewSolution
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A TV transmission tower of antenna is at a height of 20 m. How much service area can it cover if the receiving antenna is (i) at ground level (ii) at a height of 25 m ? Calculate the percentage increase in area covered in case (ii) relative to case (i).A. 2.48B. `348.9%`C. `150%`D. `360.2%` |
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Answer» Correct Answer - B Here, `h_(T)=20m,R=6.4xx10^(6)m=64xx10^(5)m` If the anteena is at ground level Range, `d=sqrt(2h_(T)R)=sqrt(2xx20xx(64xx10^(5)))` `=16xx10^(3)m=16km ` Area covered, `A=pid^(2)=(22)/(7)xx(!6)^(2)=804.6km^(2)` If the receiving antenna at a height of 25m. Range `d_(1)=sqrt(2h_(T)R)_sqrt(2h_(R)R)` `=sqrt(2xx20xx(64xx10^(5)))+sqrt(2xx25xx64xx10^(5))` `=16xx10^(3)+17.9xx10^(3)=33.9xx10^(3)m=33. 9km` Area covered `A_(1)=pid_(1)^(2)=(22)/(7)xx(33.9)^(2)=3611.8km^(2)`. percentage increase in area `=(A_(1)-A)/(A)xx100` `=((3611.8-804.6)/(804.6))xx100=348. 9%` |
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