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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Physics
Chapter
Communication System

NTA Abhyas 2020 · Physics · Communication System

The maximum frequency for reflection of sky waves from a certain...

The maximum frequency for reflection of sky waves from a certain layer of the ionosphere is found to be {f}_\max = 9 ( {N}_\max{)}^{1 / 2}, where {N}_\max is the maximum electron density at that layer of the ionosphere. On a certain day, it is observed that signals of frequencies higher than 8MHz8MHz are not received by reflection from the F2{F}_{2} layer of the ionosphere. Estimate the maximum electron densities of the F2{F}_{2}& layers on that day.

Options

  1. A7.9×1011m−37. 9 \times {10}^{11}m^{- 3}
  2. B8.9×1011m−38. 9 \times {10}^{11}m^{- 3}
  3. C1.9×1011m−31. 9 \times {10}^{11}m^{- 3}
  4. D7.1×1011m−37. 1 \times {10}^{11}m^{- 3}

Correct answer

A. 7.9×1011m−37. 9 \times {10}^{11}m^{- 3}

Step-by-step solution

The maximum frequency for reflection of sky waves {f}_\max=9 ( {N}_\max{)}^{1 / 2} where {N}_\max is a maximum electron density. For F_{2} layer, {f}_\max=8MHz So, 8 \times {10}^{6}=9 ( {N}_\max{)}^{1 / 2} maximum electron density,{N}_\max=\left(\dfrac{8 \times {10}^{6}}{9}\right)^{2}=7 \cdot 9 \times {10}^{11}m^{- 3}
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