Q159 / 160 · TS EAMCET 2019 (03 May Shift 2) · Physics

The transmitting antenna placed at the top of a tower has a height of 45 m from the ground. The distance between receiving and transmitting antennas is 40 km and the radius of earth is 6400 km. The minimum height (in m at which the receiving antenna is to be placed for satisfactory communication in LOS mode, is

  • A
    5
  • B
    15
  • Correct answer
    C
    20
  • D
    25

Solution

Recall the formula of maximum distance between transmitting and receiving antenna,

d=2 RhT+2 RhR

40=2×6400×45×10-3+2×6400×hR

40=24+2×6400×hR

256=2×6400×hR

hR=2562×6400=20×10-3 km=20 m

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

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