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Question

Physics Question on communication systems

Height of the receiving and transmitting antenna in communication of a signal are 245 m and 180 m respectively. Find the maximum distance between the two antennas for proper communication.

A

104 km

B

208 km

C

52 km

D

96 km

Answer

104 km

Explanation

Solution

Hence the correct option is (A). 104 km
Maximum distance = 2Rhr+2Rhr\sqrt{2Rh_r}+\sqrt{2Rh_r}
=2×6400×103×180+2×6400×103×245=\sqrt{2\times 6400\times10^3 \times180}+\sqrt{2\times 6400 \times 10^3\times245}
=104000m=104km=104000\,m=104\,km