The T.V transmission tower in Delhi has a height of 240m. The distance up to which the broadcast can be received (taking the radius of earth to be 6.4×106m) is (in km) (round off to nearest integer)
Open in App
Solution
Let h be the height of the tower, Re be the radius of the earth. The waves can be received at a maximum distance of l from the tower, due to the curvature of the earth's surface.
From the right angled triangle in figure, l2+R2e=(Re+h)2 ⇒l2=2Reh+h2 ⇒l2=2Reh
[since h<<Re]