JEE Main · 2023 · 15 Apr 2023 · Shift 1 · EM Waves

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The height of transmitting antenna is 180 m and the height of the receiving antenna is 245 m. The maximum distance between them for satisfactory communication in line of sight will be :
(given

R = 6400

km)

(A)48 km
(B)56 km
(C)96 km
(D)104 km✓ Correct

Answer: (D)

Solution

The maximum line-of-sight range is

d = 2 R h_{t} + 2 R h_{r}

. With

h_{t} = 180 m

2 \times 6400 \times 1 0^{3} \times 180 = 48000 m

, and with

h_{r} = 245 m

2 \times 6400 \times 1 0^{3} \times 245 = 56000 m

. Their sum is

104000 m

, so the maximum distance is

104 km

JEE Main · 2023 · 15 Apr 2023 · Shift 1 · Single correct option

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