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QJEEM23Ph1bdc: JEE Main 2023 Physics - Class 12 JEEM23Ph1bdc Solution: If the height of transmitting and receiving antennas are 80 m…

If the height of transmitting and receiving antennas are 80 m each, the maximum line of sight distance will be:

Given : Earth's radius =6.4×106=6.4\times10^6 m

Multiple Choice Options

  • A 28 km
  • B 64 km
  • C 32 km
  • D 36 km

Step-by-Step Verified Solution

Maximum line of sight distance between two antennas, dM=2RhT+2R⋅hR\mathrm{d}_{\mathrm{M}}=\sqrt{2 \mathrm{Rh}_{\mathrm{T}}}+\sqrt{2 \mathrm{R} \cdot \mathrm{h}_{\mathrm{R}}}

dM=2×2×6.4×106×80=64 km\mathrm{d}_{\mathrm{M}}=2 \times \sqrt{2 \times 6.4 \times 10^{6} \times 80}=64 \mathrm{~km}

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