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By What Percentage Will the Transmission Ranges of Tv Tower Be Affected When the Height of the Tower is Increased by 21%? - Physics

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By what percentage will the transmission ranges of TV tower be affected when the height of the tower is increased by 21%?

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Solution

`d_T = sqrt(2Rh_T)`

Let the transmission of the tower before transmission be =  `vecd_(T_1)`

Range after increase in height =`d_(T_2)`

Ratio = `(d_(T_1))/d_(T_2) = sqrt((2Rh_(T_2))/(2Rh_(T_1))) = sqrt(h_(T_2)/h_(T_1))`

Height increase = 21%

Thus,`121/100 h_(T_1 =  h_(T_2)`

`(d_(T_2))/(d_(T_1)) = sqrt((121h_(T_1))/(100 h_(T_1))` = 1.1

`d_(T_2) :d_(T_1)  11:10`

Concept: Bandwidth of Transmission Medium
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