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JEE Main 2023 · 29 Jan · Shift 1

JEE Main 2023 Physics question on Electromagnetic Waves

If the height of transmitting and receiving antennas are 80 m each, the maximum line of sight distance will be:

Given: Earth's radius =6.4×106= 6.4 \times 10^6 m
  1. A.
    36 km
  2. B.
    28 km
  3. C.
    64 km
  4. D.
    32 km
Show answer and solution

Correct option: C

Solution

The line-of-sight distance formula is d = √(2RhT) + √(2RhR). With both antenna heights equal to 80 m and R = 6.4×10⁶ m:

√(2Rh) = √(2 × 6.4×10⁶ × 80) = √(1.024×10⁹) = 32000 m = 32 km

Since both antennas contribute equally, total distance = 32 + 32 = 64 km.

[JEE Main 2023 · 29 Jan · Shift 1]

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