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CivilAdvanced Survey
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Unequal atmospheric refraction due to high temperature comes under which sources of errors?

A

Personal

B

Natural

C

Instrumental

D

Personal and natural

Correct Answer

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

Natural

Quick Summary:

Atmospheric refraction is a phenomenon caused by the variation in the density of the earth's atmosphere due to temperature, pressure, and humidity changes. Since these conditions are dictated by nature and are beyond the control of the surveyor, they are classified as natural sources of error.

тЪЩя╕ПTETechnical SolutionConcept & Principle
ЁЯТб Explanation

Atmospheric refraction is a phenomenon caused by the variation in the density of the earth's atmosphere due to temperature, pressure, and humidity changes. Since these conditions are dictated by nature and are beyond the control of the surveyor, they are classified as natural sources of error.

ЁЯФв Key Formulas

href=1тИТk2RтЛЕD2h_{ref} = \frac{1-k}{2R} \cdot D┬▓hrefтАЛ=2R1тИТkтАЛтЛЕD2 тАФ Correction for refraction where kkk is the coefficient of refraction, RRR is the radius of the earth, and DDD is the distance.

╬┤=тИл1nтЛЕdndhdh\delta = \int \frac{1}{n} \cdot \frac{dn}{dh} dh╬┤=тИлn1тАЛтЛЕdhdnтАЛdh тАФ Basic integral expressing the angular deviation of a light ray in a stratified medium.

тЪЩя╕П Working Principle

As light travels through layers of air with varying density, its path bends, causing a target observed via a theodolite to appear at an incorrect elevation. The index of refraction (nnn) of air depends on temperature (TTT) and pressure (PPP); thus, high temperatures cause thermal gradients (dT/dhdT/dhdT/dh), inducing refractive bending described by the curvature of light rays.

ЁЯУМ Key Points
  • тЦ╕

    Errors in surveying are classified as Personal, Instrumental, or Natural.

  • тЦ╕

    Natural errors occur due to climatic conditions like temperature, wind, and gravity.

  • тЦ╕

    Refraction causes an error in vertical angles, which is critical in precise leveling and triangulation.

  • тЦ╕

    Correction for refraction is usually applied alongside Earth's curvature correction.

  • тЦ╕

    High temperature fluctuations create higher atmospheric density gradients, leading to 'shimmering' or 'boiling' of the image.

тЬЕ Advantages
  • тЦ╕

    Predictable through standard atmospheric models.

  • тЦ╕

    Can be minimized by taking observations during specific hours of the day (e.g., early morning).

тЭМ Disadvantages / Limitations
  • тЦ╕

    Cannot be eliminated by adjusting the instrument.

  • тЦ╕

    Fluctuates rapidly, making real-time compensation difficult.

ЁЯЫая╕П Applications / Uses
  • тЦ╕

    Geodetic surveying

  • тЦ╕

    Precise leveling

  • тЦ╕

    Long-range trigonometric leveling

ЁЯУД Additional Information
  • тЦ╕

    The refractive index of air nnn is typically close to 1.0003, but deviations occur based on air density.

  • тЦ╕

    Option A (Personal) refers to human limitations in reading scales or centering; Option C (Instrumental) refers to calibration errors like non-perpendicular axes.

ЁЯУК Diagram / Illustration
Atmospheric Refraction
Refractive Index n=f(T,P)n = f(T, P)n=f(T,P)
Bending of Light PathSurveyor StationTarget Point
тЬЕ

B is correct тАФ Unequal atmospheric refraction is a natural phenomenon caused by variations in atmospheric density beyond human or instrumental control.

Core Concepts Used
Click any tag to open in AI Tutor
Geodetic Refraction Atmospheric Density Gradients Surveying Error Classification
ЁЯТб EXAM TIP

In exams, remember that any error caused by the environment (wind, sun, rain, refraction) is always classified as a 'Natural' error, regardless of the instrument used.

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