JEE PYQ: Communication System Question 10
Question 10 - 2021 (18 Mar 2021 Shift 2)
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 m. The 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: 50
Solution
Range $= \sqrt{2Rh}$. Increase $= \frac{\sqrt{2Rh’}}{\sqrt{2Rh}} \times 100% = \frac{\sqrt{5}}{\sqrt{20}} \times 100% = 50%$.