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A T. V. tower has a height of 100 m. How...

A T. V. tower has a height of 100 m. How much population is covered by the T.V. broadcast if the average population density around the tower is 1500 `km^(-2)` ? (Radius of earth ` = 6.37 xx 10^(6)`m. )

Text Solution

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Here, ` h = 100 m, R = 6.37 xx 10^(6)m , `
population density,
`rho = 1500 km^(-2) = 1500 xx 10^(-6)m^(-2)`
Population covered `= rho xx pi d^2 = rho pi 2 h R`
` = 1500 xx 10^(-6) xx 22/7 xx 2 xx 100 xx 6.37 xx 10^6`
` = 6 xx 10^6` .
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