Multiple choice

A TV tower has a height of 50 m. The maximum distance up to which TV transmission can be received is approximately equal to (Radius of Earth = 6.4 x 106 m)

  1. 5 km

  2. 25 km

  3. 100 km

  4. 250 km
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The distance d to the horizon is sqrt(2*R*h). R = 6.4*10^6 m, h = 50 m. d = sqrt(2 * 6.4*10^6 * 50) = sqrt(640*10^6) = 8000*sqrt(10) meters approx 25298 meters = 25 km.

AI explanation

The maximum distance for TV transmission is found using the formula d = √(2Rh), where R is the Earth's radius and h is the tower height. Substituting the given values gives d = √(2 * 6.4 x 10^6 * 50) = √(6.4 x 10^8). This simplifies to √64 x 10^7, resulting in an approximate distance of 25298 m, or 25 km.

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