GATE CE 2026 Set 1 — Question 43
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Geomatics Engineering → Levelling → Reciprocal Levelling
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Question
Locations and are separated by a wide valley. The difference in levels of locations and measured by a levelling instrument stationed near is . The same instrument stationed near measures the difference in levels of locations and as . Assume that the atmospheric refraction is same during the measurements. The true difference in levels (in m) of locations and is
Correct answer
(A) 1.0
Solution
This is a problem of reciprocal leveling, which is used to eliminate errors due to the curvature of the earth and atmospheric refraction. The true difference in elevation () between two points and is given by the average of the apparent differences measured from both ends:Given:
Difference measured near :
Difference measured near : The true difference in levels is .
Difference measured near :
Difference measured near : The true difference in levels is .
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