Question:

Given below are five statements about levelling:
(A) In levelling, datum surface is an arbitrary surface with reference to which the elevations of the points are measured and compared.
(B) The line of collimation or the line of sight is the line joining the intersection of the cross-hairs to the optical centre of the object glass and its continuation.
(C) A foresight is the first staff reading taken after setting up the instrument in any position.
(D) The height of instrument is the elevation of the plane of collimation when the instrument is levelled.
(E) A change point indicates the shifting of the instrument, both back sight and intermediate sight are taken on this change point.
Choose the correct answer from the options given below:

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Recall the exact order of readings at one instrument station: back sight first, foresight last, and what a change point connects.
  • (A), (B) and (D) only.
  • (A), (B) and (C) only.
  • (C), (D) and (E) only.
  • (B), (C) and (D) only.
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The Correct Option is A

Solution and Explanation

Step 1: Statement (A) is correct: the datum surface in levelling is simply an assumed or arbitrary reference surface used for measuring and comparing elevations.
Step 2: Statement (B) is correct: this is the standard definition of the line of collimation, the line from the intersection of the cross hairs through the optical centre of the object glass, extended forward.
Step 3: Statement (D) is correct: the height of instrument (HI) is defined as the reduced level of the plane of collimation once the instrument is levelled.
Step 4: Statement (C) is incorrect: the first staff reading taken from an instrument position is the back sight, not the foresight; the foresight is the last reading taken from that position before the instrument is shifted.
Step 5: Statement (E) is incorrect: a change point is where a foresight from one instrument position and a back sight from the next position are both taken, not a back sight and an intermediate sight.
So the correct statements are (A), (B) and (D) only, option 1.
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