Q160 / 160 · TS EAMCET 2024 (09 May Shift 1) · Physics

The heights of the transmitting and receiving antennas and 33.8 m and 64.8 m respectively. The maximum distance between the antennas for satisfactory communication in a line of sight mode is (Radius of the earth $=6400 \mathrm{~km}$ )

  • A
    20.8 km
  • B
    28.8 km
  • Correct answer
    C
    49.6 km
  • D
    57.6 km

Solution

The maximum distance between the antennas for satisfactory communication in line of sight distance $\begin{aligned} & \mathrm{d}=\sqrt{2 \mathrm{~h}_{\mathrm{T}}}+\sqrt{2 \mathrm{~h}_{\mathrm{R}}}=\sqrt{2}\left(\sqrt{33.8 \times 10^{-3}+64.8 \times 10^{-3}}\right) \\ & =49.6 \mathrm{~km} \end{aligned}$

Hence, the correct answer is option: 'C'.

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