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Q.

A TV transmission tower antenna is at a height of 20 m. Suppose that the receiving antenna is at.i) ground level ii) a height of 5 mThe increase in antenna range in case ii) relative to case i) is n %. The value of n, to the nearest integer, is______

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answer is 50.

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Detailed Solution

Here hT=20m  In case i   hR=0  and in case (ii) hR=5m   Range in case (i)  is  d1=2RhT     And in case  (ii) is d2=2RhT+2RhR Percentage increase in the range is  d2−d1d1×100=2RhR2RhT×100=520×100=50%
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