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In a preliminary survey a line of level was run from a bench mark of RL 454.650m and following readings are obtained. fly levelling was done till last position of the instrument
2.545,1.365,3.865,2.945,2.670,1.885,1.125
From the last position of the instrument five pegs at 20m interval and to be set out ib an uniformly rising gradient of 1 in 40. The first peg is to have a Rl of 455.110 Find the staff reading for the fourth peg.
  • a)
    455.61
  • b)
    456.61
  • c)
    457.11
  • d)
    455.11
Correct answer is option 'B'. Can you explain this answer?
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Preliminary Survey
The preliminary survey involves running a line of level from a benchmark of RL 454.650m. The following readings were obtained during the fly leveling process: 2.545, 1.365, 3.865, 2.945, 2.670, 1.885, 1.125.

Setting out Pegs
From the last position of the instrument, five pegs are to be set out at 20m intervals. These pegs should be set out in a uniformly rising gradient of 1 in 40. The first peg should have a RL of 455.110m.

Calculating the Staff Reading
To calculate the staff reading for the fourth peg, we need to determine the difference in RL between the fourth peg and the last position of the instrument.

We can start by finding the difference in RL between the last position of the instrument and the first peg. Since the gradient is 1 in 40, the rise in RL for every 40m horizontal distance is 1m. Therefore, the rise in RL for a 20m horizontal distance is 0.5m.

The RL of the first peg is 455.110m, and the RL of the last position of the instrument is the benchmark RL of 454.650m. Subtracting the benchmark RL from the first peg RL gives us a difference of 0.460m.

Since the rise in RL for a 20m horizontal distance is 0.5m, the difference in RL between the fourth peg and the last position of the instrument should be approximately 0.460m.

Calculating the Staff Reading for the Fourth Peg
To calculate the staff reading for the fourth peg, we need to subtract the difference in RL (0.460m) from the staff reading at the last position of the instrument.

The staff reading at the last position of the instrument is 1.125m. Subtracting 0.460m from 1.125m gives us a staff reading of 0.665m.

Therefore, the staff reading for the fourth peg is 0.665m.

Conclusion
The correct option is B) 456.61, which is the closest option to the calculated staff reading of 0.665m for the fourth peg.
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In a preliminary survey a line of level was run from a bench mark of RL 454.650m and following readings are obtained. fly levelling was done till last position of the instrument2.545,1.365,3.865,2.945,2.670,1.885,1.125From the last position of the instrument five pegs at 20m interval and to be set out ib an uniformly rising gradient of 1 in 40. The first peg is to have a Rl of 455.110 Find the staff reading for the fourth peg.a)455.61b)456.61c)457.11d)455.11Correct answer is option 'B'. Can you explain this answer?
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In a preliminary survey a line of level was run from a bench mark of RL 454.650m and following readings are obtained. fly levelling was done till last position of the instrument2.545,1.365,3.865,2.945,2.670,1.885,1.125From the last position of the instrument five pegs at 20m interval and to be set out ib an uniformly rising gradient of 1 in 40. The first peg is to have a Rl of 455.110 Find the staff reading for the fourth peg.a)455.61b)456.61c)457.11d)455.11Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about In a preliminary survey a line of level was run from a bench mark of RL 454.650m and following readings are obtained. fly levelling was done till last position of the instrument2.545,1.365,3.865,2.945,2.670,1.885,1.125From the last position of the instrument five pegs at 20m interval and to be set out ib an uniformly rising gradient of 1 in 40. The first peg is to have a Rl of 455.110 Find the staff reading for the fourth peg.a)455.61b)456.61c)457.11d)455.11Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a preliminary survey a line of level was run from a bench mark of RL 454.650m and following readings are obtained. fly levelling was done till last position of the instrument2.545,1.365,3.865,2.945,2.670,1.885,1.125From the last position of the instrument five pegs at 20m interval and to be set out ib an uniformly rising gradient of 1 in 40. The first peg is to have a Rl of 455.110 Find the staff reading for the fourth peg.a)455.61b)456.61c)457.11d)455.11Correct answer is option 'B'. Can you explain this answer?.
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