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CivilAdvanced Survey
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If external focusing telescope is used in tacheometer when that extra lens provides is known as___

A

Convex glass

B

Concave glass

C

Anallatic lens

D

In A or C

Correct Answer

тЪЩя╕П TE тАв Technical Concept & PrincipleCivilAdvanced Survey
Option D

In A or C

Quick Summary:

An extra lens provided in an external focusing telescope of a tacheometer is an anallatic lens, which is physically a convex glass lens. It is fitted between the object glass and eyepiece to eliminate the additive constant C=(f+d)C = (f + d)C=(f+d), making C=0C = 0C=0. Hence, both Option A (Convex glass) and Option C (Anallatic lens) describe this lens, making Option D the correct choice.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

An extra lens provided in an external focusing telescope of a tacheometer is an anallatic lens, which is physically a convex glass lens. It is fitted between the object glass and eyepiece to eliminate the additive constant C=(f+d)C = (f + d)C=(f+d), making C=0C = 0C=0. Hence, both Option A (Convex glass) and Option C (Anallatic lens) describe this lens, making Option D the correct choice.

ЁЯФв Key Formulas

D=KтЛЕs+CD = K \cdot s + CD=KтЛЕs+C тАФ General tacheometric distance equation

K=fi=100K = \frac{f}{i} = 100K=ifтАЛ=100 тАФ Multiplying constant

C=f+d=0C = f + d = 0C=f+d=0 тАФ Additive constant (with anallatic convex lens)

тЪЩя╕П Working Principle

In an ordinary external focusing telescope, the tacheometric distance equation is D=KтЛЕs+CD = K \cdot s + CD=KтЛЕs+C, where C=(f+d)C = (f + d)C=(f+d) is the additive constant. By inserting a special convex lens (anallatic lens) between the object glass and the eyepiece at a fixed distance, the apex of the measuring triangle is shifted directly to the instrument's vertical axis. This forces the additive constant CCC to become zero, simplifying field calculations to a direct linear proportion D=KтЛЕsD = K \cdot sD=KтЛЕs.

ЁЯУМ Key Points
  • тЦ╕

    An anallatic lens is a convex glass lens fitted inside an external focusing telescope between the objective glass and the eyepiece.

  • тЦ╕

    Its primary objective is to make the additive constant C=(f+d)C = (f + d)C=(f+d) equal to zero.

  • тЦ╕

    It simplifies field calculations, enabling direct distance calculation as D=100├ЧsD = 100 \times sD=100├Чs where sss is the staff intercept.

  • тЦ╕

    Internal focusing telescopes inherently have an additive constant close to zero, so an additional anallatic lens is generally not required.

тЬЕ Advantages
  • тЦ╕

    Simplifies distance computations in tacheometric surveying by eliminating the additive term.

  • тЦ╕

    Direct calculation saves time and reduces manual computation errors during field mapping.

тЭМ Disadvantages / Limitations
  • тЦ╕

    Reduces the brightness and clarity of the image due to light absorption through the extra glass lens.

  • тЦ╕

    Increases the internal complexity and cost of the telescope assembly.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Topographic mapping and detail surveying in rugged, inaccessible terrains.

  • тЦ╕

    Reconnaissance surveys for highways, railways, and hydrographic projects.

ЁЯУД Additional Information
  • тЦ╕

    Option A (Convex glass): Correct regarding the optical type and material of the lens.

  • тЦ╕

    Option B (Concave glass): Incorrect, as a concave lens would diverge light rays instead of converging them to shift the analytical center.

  • тЦ╕

    Option C (Anallatic lens): Correct functional name of the additional lens used in tacheometry.

  • тЦ╕

    Option D (In A or C): Correct choice, as the extra lens is functionally called an 'Anallatic lens' and structurally made of 'Convex glass'.

ЁЯУК Diagram / Illustration
Tacheometer Distance FormulaD = K ├Ч s + CK = Multiplying Constant (f / i = 100)C = Additive Constant (f + d = 0 with Anallatic Lens)Simplified Formula: D = 100 ├Ч s
тЬЕ

D is correct тАФ The additional lens provided in an external focusing telescope is functionally called an anallatic lens, which is structurally a convex glass lens.

Core Concepts Used
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Tacheometry Anallatic Lens Stadia Constants
ЁЯТб EXAM TIP

Remember that an anallatic lens is used specifically in external focusing telescopes to make C=0C = 0C=0; internal focusing telescopes inherently have an additive constant close to zero.

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