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JEE Main 202118 MarchEvening Shift
Exam
JEE Main
Year
2021
Date
18 March
Shift
Evening Shift
Subject
Physics
Chapter
Communication System

JEE Main 2021 · 18 March · Evening Shift · Physics · Communication System

A TV transmission tower antenna is at a height of 20m . Suppose...

A TV transmission tower antenna is at a height of 20m20m. Suppose that the receiving antenna is at.
(i) ground level
(ii) a height of 5m5m.
The increase in antenna range in case (ii) relative to case (i) is nn %. The value of nn, to the nearest integer, is.

Correct answer

0

Step-by-step solution

Range =2Rh= \sqrt{2Rh}

Range (i)=2Rh= \sqrt{2Rh}

Range (ii) =2Rh+2Rh′= \sqrt{2Rh} + \sqrt{2Rh '}

where h=20m and h′=5mh = 20m \text{ and } h ' = 5m

Ans =2Rh′2Rh×100= \dfrac{\sqrt{2Rh '}}{\sqrt{2Rh}} \times 100 % = \dfrac{\sqrt{5}}{\sqrt{20}} \times 100 % = 50 %

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