Q160 / 160 · AP EAMCET 2023 (17 May Shift 1) · Physics

The radio horizon of the transmission of an antenna placed on $20^{\text {th }}$ floor in a shopping mall, where the height of each floor is $2 \mathrm{~m}$ is (Radius of earth is $6.4 \times 10^6 \mathrm{~m}$ )

  • Correct answer
    A
    $22.6 \mathrm{~km}$
  • B
    $45 \mathrm{~km}$
  • C
    $36 \mathrm{~km}$
  • D
    $67.5 \mathrm{~km}$

Solution

$\begin{aligned} & \mathrm{H}_{\mathrm{r}}=20 \times 2=40 \mathrm{~m} \\ & \mathrm{~d}_{\mathrm{m}}=\sqrt{2 \mathrm{H}_{\mathrm{r}} \mathrm{R}}=\sqrt{2 \times 40 \times 6.4 \times 10^6}=22.6 \mathrm{~km}\end{aligned}$

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

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