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Question:

The area covered by a transmitting antenna of height 50 m is

640π km²

120π km²

320π km²

1440π km²

Solution:

Maximum distance upto which signal from a tower of height h reaches = d = √(2Rh) where, R is the radius of earth. Thus area covered by the antenna = πd² = π(2Rh) = π × 2 × 6400km × 0.05km = 640πkm²