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← JEE Main 2014 · 9 Apr · Shift 1
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JEE Main 2014 · 9 Apr · Shift 1, Physics question 29

A transmitting antenna at the top of a tower has a height 32 m and the height of the receiving antenna is 50 m. What is the maximum distance between them for satisfactory communication in line of sight (LOS) mode ?

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Answer and worked solution

Official answer: B

d=2RhT+2RhR=2×6.4×106×32+2×6.4×106×50=20.2+25.3≈45.5 km.d=\sqrt{2Rh_T}+\sqrt{2Rh_R}=\sqrt{2\times6.4\times10^6\times32}+\sqrt{2\times6.4\times10^6\times50}=20.2+25.3\approx45.5\text{ km}.