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## Reciprocal leveling was done to determine the difference in elevation between two stations C and D the following observations were made. Find the difference in elevation and the error due to line of collimation Neglect other errors.

.By:Nikhil-bharadwaj

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## Answers

The true difference in elevation and errors associated with observation, if any, can be found as follows:

Let the true difference in elevation between the points be rh and the total error be e. Assuming, no error on observation of staff near the level (as the distance is very small)

Then, rh = X1 ~ (Y1 - e) [From first set of observation]

and rh = (X2 - e) ~ Y2 [From second set of observation]

Thus, the true difference in elevation between any two points can be obtained by taking the mean of the two differences in observation.

Thus, total error in observations can be obtained by taking the difference of the two differences in observation. The total error consist of error due to curvature of the earth, atmospheric errors (due to temperature and refraction) and instrumental errors (due to error in collimation) etc.

prajwalamv

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