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Q.

A TV tower has a height of 150m. By how much the minimum height (in meters) of the tower be increased so as to double the radius of  its coverage range?

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answer is 450.

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Detailed Solution

Coverage range of a TV tower is given by 
r=2hR
where h is height of tower and R is radius of earth
Coverage range  rh
To make  r double, h  is to be made 4 times.
So, the height of the tower is to be made 4 times of initial height =  4×150=600m
The height to be increased from 150 m  is  600150=450 m
Therefore, the correct answer is  450.0
 

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