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Question: A TV transmission tower has a height of 240 m. Signals broadcast from this tower will be received by...

A TV transmission tower has a height of 240 m. Signals broadcast from this tower will be received by line of sight communication at a distance of

(Radius of earth = 6.4 x 106 m)

A

100 km

B

110 km

C

55 km

D

120 km

Answer

55 km

Explanation

Solution

: Here , h=240m,R=6.4×106mh = 240m,R = 6.4 \times 10^{6}m

The maximum distance on earth from the transmitter upto which a signal can be received is

d=2Rh=2×(6.4×106)×240d = \sqrt{2Rh} = \sqrt{2 \times (6.4 \times 10^{6}) \times 240}

=55.4×103m=55.4km= 55.4 \times 10^{3}m = 55.4km