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JEE Main202315 Apr 2023Morning ShiftPhysicsCommunication SystemActual

The height of transmitting antenna is 180 m and the height of the receiving antenna is 245 m . The maximum distance between them for satisfactory communication in line of sight will be: (given R = 6400 km )

Options

  1. A96   km
  2. B56   km
  3. C48   km
  4. D104   km

Correct answer

D. 104   km

Step-by-step solution

The maximum distance for line of sight communication is d = 2 h R + 2 h ' R The given data is R = 6400   km h = 180   m h ' = 245   m Thus, the value is d = 2 × 180 × 6400 × 10 3 + 2 × 245 × 6400 × 10 3 = 6 × 80 × 10 2 + 7 × 80 × 10 2 = 104   km

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