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JEE Main 201912 JanuaryEvening Shift
Exam
JEE Main
Year
2019
Date
12 January
Shift
Evening Shift
Subject
Physics
Chapter
Communication System

JEE Main 2019 · 12 January · Evening Shift · Physics · Communication System

To double the covering range of a TV transmitting tower, its height...

To double the covering range of a TV transmitting tower, its height should be multiplied by:

Options

  1. A12\dfrac{1}{\sqrt{2}}
  2. B44
  3. C22
  4. D2\sqrt{2}

Correct answer

B. 44

Step-by-step solution

The range of a tower in the communication system is given by

Range=2hR\text{Range} = \sqrt{2hR}

Here, h=h = Height of the tower,

R=R = radius of Earth

Given, The range of tower is to be doubled.

As, Range ∝h∝ h, to make the range double, the height hh have to be made 44 times.

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