Question Bank • QB_SWCE_EXP_053 NAT • 1 Mark

Section 4: Soil and Water Conservation Engineering

Surveying and Levelling

Subtopic: Types of levelling

Question Statement:

The combined correction for curvature and refraction of the earth for a sight distance of $1.5\text{ km}$ in meters is ________ (round off to 3 decimal places).

Answer Key:

0.151

Step-by-Step Solution & Explanation

Combined curvature and refraction correction formula: $C_{cr} = 0.0673 D^2\text{ meters}$ where $D$ is sight distance in kilometers. Given $D = 1.5\text{ km}$: $C_{cr} = 0.0673 \times (1.5)^2 = 0.0673 \times 2.25 = 0.1514\text{ m} \approx 0.151\text{ m}$
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