Q 12-08-143JEE MainJEE Main 2022 (27 Jul, Shift 1)Easy
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
Answer: (D) $900$ m
Range $d = \sqrt{2Rh}$, so $h \propto d^2$. Tripling the range needs $9$ times the height:
$$h' = 9\times100 = 900\ \text{m}$$
Solution by Sreeraj P, M.Sc Physics