Q66 / 90 · JEE Main 2014 (09 Apr Online) · Physics

A transmitting antenna at the top of a tower has a height 32 m and the height of the receiving antenna is 50 m. What is the maximum distance between them for satisfactory communication in line of sight (LOS) mode?

  • Correct answer
    A
    45.5 km
  • B
    54.5 km
  • C
    55.4 km
  • D
    455 km

Solution

Given,

Height of transmitting antenna is, hT=50 m

Height of receiving antenna is, hR=32 m

Thus, maximum distance for satisfactory communication will be,

dM=2RhT+2RhR where R is radius of the Earth,

dM=2RhT+2RhRdM=2×64×105×50+2×64×105×32dM=800010+640010dM=1440010 mdM=45536.7 mdM=45.5 km

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

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