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QJEEM21Ph7718: JEE Main 2021 Physics - Class 12 JEEM21Ph7718 Solution: A transmitting antenna at top of a tower has a height of 50 m…

A transmitting antenna at top of a tower has a height of 50 m and the height of receiving antenna is 80 m. What is range of communication for Line of Sight (LoS) mode?

[use radius of earth = 6400 km]

Multiple Choice Options

  • A 45.5 km
  • B 80.2 km
  • C 144.1 km
  • D 57.28 km

Step-by-Step Verified Solution

JEE Main 2021 (Online) 26th August Evening Shift Physics - Communication Systems Question 53 English Explanation

dt=2Rh1+2Rh2{d_t} = \sqrt {2R{h_1}} + \sqrt {2R{h_2}}

=2R(h1+h2)= \sqrt {2R} \left( {\sqrt {{h_1}} + \sqrt {{h_2}} } \right)

=(2×6400×103)1/2(50+80)= {(2 \times 6400 \times {10^3})^{1/2}}(\sqrt {50} + \sqrt {80} )

=3578(7.07+8.94)= 3578(7.07 + 8.94)

=57.28= 57.28 km

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