Question

At a particular station, the TV transmission tower has a height of 100 m. To triple its coverage range, height of the tower should be increased to

• A. 200 m
• B. 300 m
• C. 600 m
• D. 900 m

Answer 1

Answer: (D)

900 m

Answer 2

The correct answer is (D) : 900 m
$∴r_m=\sqrt{2Rh}$
$⇒\frac{r_1}{r_2}=\sqrt{\frac{h_1}{h_2}}$
$⇒\frac{1}{3}=\sqrt{\frac{100}{h_2}}$
$⇒h_2=900\ m$
$\therefore$ height of the tower should be increased to 900 m