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JEE Main 20236 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
6 April
Shift
Morning Shift
Subject
Physics
Chapter
Communication System

JEE Main 2023 · 6 April · Morning Shift · Physics · Communication System

By what percentage will the transmission range of a TV tower be...

By what percentage will the transmission range of a TV tower be affected when the height of the tower is increased by 2121 %?

Options

  1. A1515 %
  2. B1212 %
  3. C1010 %
  4. D1414 %

Correct answer

C. 1010 %

Step-by-step solution

The range of a TV tower antenna is given by

d=2hRd = \sqrt{2hR}

New height is given as

h′=1.21hh ' = 1 . 21h

Let the new range be

d′=2h′R⇒d′=1.212hR=1.1dd ' = \sqrt{2h ' R} ⇒ d ' = \sqrt{1 . 21}\sqrt{2hR} = 1 . 1d

So, the increase in the range is =1.1d−dd×100=10= \dfrac{1 . 1d - d}{d} \times 100 = 10 %

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