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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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CivilSurveying
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Which instrument is used in optical method?

A

Chain and tape

B

Telescope and staff

C

D.M

D

All of the above

Correct Answer

⚙️ TE • Technical Concept & PrincipleCivilSurveying
Option B

Telescope and staff

Quick Summary:

In surveying, optical methods rely on line-of-sight instruments to measure distances, heights, or angles. A telescope and a leveling staff are the fundamental components used in optical leveling and tacheometry to determine vertical and horizontal displacements by optical observation.

⚙️TETechnical SolutionConcept & Principle
💡 Explanation

In surveying, optical methods rely on line-of-sight instruments to measure distances, heights, or angles. A telescope and a leveling staff are the fundamental components used in optical leveling and tacheometry to determine vertical and horizontal displacements by optical observation.

🔢 Key Formulas

D=Ks+CD = Ks + CD=Ks+C — The basic tacheometric formula where K=fiK = \frac{f}{i}K=if​

Elevation=HeightofInstrument−StaffReadingElevation = Height of Instrument - Staff ReadingElevation=HeightofInstrument−StaffReading — Fundamental principle of optical leveling

⚙️ Working Principle

The principle involves the use of a telescope to sight a graduated staff. By observing the readings intercepted by the horizontal cross-hairs of the telescope's reticle, the observer can determine relative elevations (leveling) or, in the case of stadia tacheometry, compute horizontal distance using the formula D=K⋅s+CD = K \cdot s + CD=K⋅s+C, where sss is the staff intercept.

📌 Key Points
  • ▸

    Optical methods require a clear line of sight between the instrument and the target.

  • ▸

    Stadia hairs in the telescope diaphragm allow for distance measurement without physical chaining.

  • ▸

    Leveling is the primary application of optical survey instruments for height determination.

✅ Advantages
  • ▸

    High accuracy in terrain where chaining is difficult.

  • ▸

    Eliminates physical measurement errors associated with taping over obstacles.

❌ Disadvantages / Limitations
  • ▸

    Requires clear visibility and constant atmospheric conditions.

  • ▸

    Limited by the maximum magnification of the telescope.

🛠️ Applications / Uses
  • ▸

    Topographic mapping

  • ▸

    Precise leveling for construction projects

  • ▸

    Determination of height differences

📄 Additional Information
  • ▸

    Chain and tape (Option A) belongs to the category of 'Direct Measurement' or 'Linear Methods'.

  • ▸

    E.D.M (Electronic Distance Measurement) (Option C) falls under 'Electronic Methods', which rely on wave propagation (microwaves or light waves) rather than direct optical sighting of staff intervals.

📊 Diagram / Illustration
Optical Distance FormulaD = Ks + CD: Horizontal Distances: Staff InterceptK: Multiplication Constant (usually 100)
✅

B is correct — The telescope and staff are the primary tools for optical surveying methods used to measure distances and elevations.

Core Concepts Used
Click any tag to open in AI Tutor
Optics in Surveying Tacheometry Leveling
💡 EXAM TIP

Always categorize survey instruments by their working medium: physical (chain/tape), optical (telescope/staff), or electronic (EDM/Total Station).

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