Modern Physics 7 Question 16
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:
- 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.
