JEE Main · 2019 · 12 Jan 2019 · Shift 2 · Semiconductors

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

Answer: (C)

Solution

The line-of-sight range of a tower of height

h

d = 2 h R

with

R

the Earth's radius. To double it, set

2 2 h R = 2 h^{'} R

; squaring gives

4 (2 h R) = 2 h^{'} R

, so

h^{'} = 4 h

. The height must be multiplied by

4

JEE Main · 2019 · 12 Jan 2019 · Shift 2 · Single correct option