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Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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CivilAdvanced Survey
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Which diameter theodolite was used in Indian triangulation survey ?

A

91.4 cm

B

36”\text{''}”

C

91.4 mm

D

Both A and B

Correct Answer

⚙️ TE • Technical Concept & PrincipleCivilAdvanced Survey
Option D

Both A and B

Quick Summary:

The Great Trigonometrical Survey of India utilized heavy-duty precision theodolites for primary triangulation. A 36-inch (91.4 cm) diameter theodolite was specifically employed by William Lamb G.C. Everest to ensure extreme angular accuracy over long geodetic distances.

⚙️TETechnical SolutionConcept & Principle
💡 Explanation

The Great Trigonometrical Survey of India utilized heavy-duty precision theodolites for primary triangulation. A 36-inch (91.4 cm) diameter theodolite was specifically employed by William Lamb G.C. Everest to ensure extreme angular accuracy over long geodetic distances.

🔢 Key Formulas

1 inch=2.54 cm1\text{ inch} = 2.54\text{ cm}1 inch=2.54 cm

36 inches=36×2.54=91.44 cm≈91.4 cm36\text{ inches} = 36 \times 2.54 = 91.44\text{ cm} \approx 91.4\text{ cm}36 inches=36×2.54=91.44 cm≈91.4 cm

⚙️ Working Principle

The large diameter of the theodolite horizontal limb allows for a more precise graduation of the scale, minimizing reading errors. By using a larger radius, the angular subdivision represents a larger physical arc length, which significantly reduces the effect of errors during vernier or micrometer readings.

📌 Key Points
  • ▸

    The 36-inch theodolite is famously associated with the instrument used by Everest.

  • ▸

    Such large instruments were essential for minimizing angular observation errors in first-order triangulation.

  • ▸

    Due to their massive weight, these instruments required specialized transport and sturdy observation towers.

✅ Advantages
  • ▸

    Higher graduation accuracy due to larger circumference

  • ▸

    Reduced angular error for long-range geodetic measurements

❌ Disadvantages / Limitations
  • ▸

    Extremely heavy and difficult to transport in rugged terrain

  • ▸

    Sensitive to atmospheric refraction and temperature variations

🛠️ Applications / Uses
  • ▸

    Primary Triangulation of India

  • ▸

    Geodetic Surveying

📄 Additional Information
  • ▸

    The Great Trigonometrical Survey (GTS) was a monumental project to map the Indian subcontinent.

  • ▸

    Option C is incorrect because 91.4 mm is approximately 3.6 inches, which is far too small for the historical primary triangulation instruments.

📊 Diagram / Illustration
Conversion Fact36text{ inches}91.4text{ cm}text{Equivalence in Great Trigonometrical Survey}
✅

D is correct — The 36-inch theodolite is equivalent to 91.4 cm, and both represent the specifications of the primary instruments used in the Great Trigonometrical Survey of India.

Core Concepts Used
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Geodetic Surveying Triangulation Instrument Precision
💡 EXAM TIP

In surveying exams, always check the units carefully; 36 inches is a standard historical reference for the Everest theodolites in the context of the GTS.

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