Question

The maximum distance upto which TV transmission from a TV tower of height h can be received is proportional to

(a) h^1/2

(b) h³

(c) h

(d) h²

Answer 1

The correct option is (a) h^1/2.

Explanation:

If the height of the antenna is h, then the maximum distance upto which the TV transmission for a TV tower can be received is proportional to h^1/2. Suppose that the height of the TV antenna be h and the radius of the earth be R and R > > h. 

Let A be a receiving station. In the limit h < < R, we can assume that BA is a tangent to the surface of the earth. Then ∠BAO = 90^o and so