Question

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

• A. $\frac{1}{\sqrt{2}}$
• B. $\sqrt{2}$
• C. $4$
• D. $2$

Answer 1

The correct option is C $4$

We know that, the Range of the TV transmitter tower is given by,

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

Where, $h=$ Height of tower
$R=$ Radius of earth

Therefore, to double the range, height ${}^{\prime }{h}^{\prime }$ should be $4$ times.

Hence, option $\left(C\right)$ is correct.