Question

The radius of the Earth is $6400km$ . If the height of an antenna is $500m$ , then its range is

• A. $800km$
• B. $100km$
• C. $80km$
• D. $10km$

Answer 1

Answer: (C)

Given, $R=6400km=6.4\times 10^{6}m,h=500m$
$\therefore Range,d=\sqrt{2hR}$
$=\sqrt{2\times 500\times 6.4\times 10^6}$
$=\sqrt{64\times 10^8}=8\times 10^4=80km$