JEE Main 2014PhysicsCommunication SystemMediumMCQ

JEE Main 2014 — Communication System Question with Solution

JEE Main 2014 (09 Apr Online)

Question

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?

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Show full solutionCorrect option: A
Correct answer
A45.5 km

Step-by-step explanation

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

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About this question

This is a previous-year question from JEE Main 2014, covering the Communication System chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.