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Question

Physics Question on communication systems

By what percentage will the transmission range of a TV tower be affected when the height of the tower is increased by 21% ?

A

12%

B

15%

C

14%

D

10%

Answer

10%

Explanation

Solution

New range is given by 2R(h+0.21h)\sqrt{2 R(h+0.21 h)}
=2Rh×1.21 =1.12Rh\begin{aligned} & =\sqrt{2 R h \times 1.21} \\\ & =1.1 \sqrt{2 R h} \end{aligned}
It means new range increases by 10 %.