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The accuracy of an Electronic Distance Measuring Instrument (EDMI) is specified as  ± (a mm + b ppm). Which one of the following statements is correct?  
  • a)
    Both a and b remain constant, irrespective of the distance being measured.  
  • b)
    a remains constant and b varies in proportion to the distance being measured.  
  • c)
    a varies in proportion to the distance being measured and b remains constant.  
  • d)
    Both a and b vary in proportion to the distance being measured.
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The accuracy of an Electronic Distance Measuring Instrument (EDMI) is ...
Accuracy of EDMI is generally stated in terms of constant instrument error and measuring error proportional to distance being measured.
 ± (a mm + b ppm)
 The first part in this expression indicates a constant instrument error that is independent of length of line measured. Second component is distance related error.  
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Most Upvoted Answer
The accuracy of an Electronic Distance Measuring Instrument (EDMI) is ...
Understanding EDMI Accuracy
The accuracy specification of an Electronic Distance Measuring Instrument (EDMI) is expressed as (a mm + b ppm), which includes two components: a constant error (a mm) and a proportional error (b ppm).
Explanation of Components
- Constant Error (a mm):
- This value represents a fixed systematic error that is independent of the distance measured.
- It remains constant regardless of how far the instrument measures.
- Proportional Error (b ppm):
- This value is expressed in parts per million (ppm) and varies with the distance.
- As the distance increases, the total error introduced by this component increases proportionally.
- For example, if you are measuring a distance of 1000 meters, the error from this component will be higher than if you were measuring 100 meters.
Why Option B is Correct
- The statement "a remains constant and b varies in proportion to the distance being measured" accurately reflects the behavior of the accuracy components:
- Constant a: Unchanging, representing a fixed error.
- Variable b: Increases proportionally with distance, meaning longer distances introduce greater error due to this component.
Thus, the correct choice is option 'B', as it aptly represents the relationship between the distance measured and the accuracy of the EDMI.
Conclusion
Understanding these components helps users effectively interpret the accuracy limits of their measurements and make informed decisions based on the given specifications.
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The accuracy of an Electronic Distance Measuring Instrument (EDMI) is specified as ± (a mm + b ppm). Which one of the following statements is correct? a)Both a and b remain constant, irrespective of the distance being measured. b)a remains constant and b varies in proportion to the distance being measured. c)a varies in proportion to the distance being measured and b remains constant. d)Both a and b vary in proportion to the distance being measured.Correct answer is option 'B'. Can you explain this answer?
Question Description
The accuracy of an Electronic Distance Measuring Instrument (EDMI) is specified as ± (a mm + b ppm). Which one of the following statements is correct? a)Both a and b remain constant, irrespective of the distance being measured. b)a remains constant and b varies in proportion to the distance being measured. c)a varies in proportion to the distance being measured and b remains constant. d)Both a and b vary in proportion to the distance being measured.Correct 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 The accuracy of an Electronic Distance Measuring Instrument (EDMI) is specified as ± (a mm + b ppm). Which one of the following statements is correct? a)Both a and b remain constant, irrespective of the distance being measured. b)a remains constant and b varies in proportion to the distance being measured. c)a varies in proportion to the distance being measured and b remains constant. d)Both a and b vary in proportion to the distance being measured.Correct 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 The accuracy of an Electronic Distance Measuring Instrument (EDMI) is specified as ± (a mm + b ppm). Which one of the following statements is correct? a)Both a and b remain constant, irrespective of the distance being measured. b)a remains constant and b varies in proportion to the distance being measured. c)a varies in proportion to the distance being measured and b remains constant. d)Both a and b vary in proportion to the distance being measured.Correct answer is option 'B'. Can you explain this answer?.
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