In levelling, error due to earth’s curvature is to be corrected using:

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  1. Cc = 0.0673D2
  2. Cc = 0.012D2
  3. Cc = 0.0136D2
  4. Cc = 0.0785D2
  5. Cc = 0.0587D2

Answer (Detailed Solution Below)

Option 4 : Cc = 0.0785D2
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Concept:

Error due to earth curvature:

\(Earth\, curvature\, error(C_c)={D^2\over 2R}=0.07849D^2\)

Where R = Radius of earth curvature

D = Distance in km

Curvature correction = \(-{D^2\over 2R}=-0.07849D^2\)

Additional information:

Refraction correction (CR) = \({D^2\over 14R}=0.01121D^2\)

Combined correction (C) = \(-{6D^2\over 14R}=-0.06728D^2\)

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