Modern Physics 7 Question 68

16. To double the covering range of a TV transmission tower, its height should be multiplied by

(Main 2019, 12 Jan II)

(a) $\sqrt{2}$

(b) 4

(c) 2

(d) $\frac{1}{\sqrt{2}}$

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Solution:

  1. Range of TV transmitting tower $d=\sqrt{2 h R}$

where, $h$ is the height of the transmission tower. when range is doubled,

$$ \begin{aligned} \therefore \quad 2 d & =2 \sqrt{2 h R} \\ & =\sqrt{2(4 h) R} \end{aligned} $$

So, height must be multiplied with 4.



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