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A base line was measured under certain condition and was found to be 250 -0.04 m . if another base line of length 1000m was measured under same conditions. The probable error of second line?
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A base line was measured under certain condition and was found to be 2...
Probable Error of a Base Line
Definition: Probable error is a measure of precision for any measurement. It is the range within which the true value of the measurement is expected to fall, with a certain level of confidence.
Given:
- Length of the first base line = 250-0.04 m
- Length of the second base line = 1000 m
- Same conditions for both measurements
Calculating Probable Error:
To calculate the probable error of the second base line, we need to use the formula:
Probable error = 0.6745 x (l / √n)
where,
- l = length of the base line
- n = number of measurements
- 0.6745 = a constant value for 50% confidence level
In this case, the length of the second base line is 1000 m and we assume only one measurement was taken. Therefore, n = 1.
Probable error = 0.6745 x (1000 / √1)
Probable error = 674.5 m
Interpretation:
The probable error of the second base line is 674.5 m. This means that the true value of the length of the base line is expected to fall within a range of ±674.5 m, with a 50% level of confidence.
Note:
- The probable error is affected by the length of the base line and the number of measurements taken.
- A higher number of measurements will reduce the probable error, as it increases the level of confidence in the measurement.
- The probable error is used to determine the accuracy of measurements and to ensure that they meet the required specifications.
Definition: Probable error is a measure of precision for any measurement. It is the range within which the true value of the measurement is expected to fall, with a certain level of confidence.
Given:
- Length of the first base line = 250-0.04 m
- Length of the second base line = 1000 m
- Same conditions for both measurements
Calculating Probable Error:
To calculate the probable error of the second base line, we need to use the formula:
Probable error = 0.6745 x (l / √n)
where,
- l = length of the base line
- n = number of measurements
- 0.6745 = a constant value for 50% confidence level
In this case, the length of the second base line is 1000 m and we assume only one measurement was taken. Therefore, n = 1.
Probable error = 0.6745 x (1000 / √1)
Probable error = 674.5 m
Interpretation:
The probable error of the second base line is 674.5 m. This means that the true value of the length of the base line is expected to fall within a range of ±674.5 m, with a 50% level of confidence.
Note:
- The probable error is affected by the length of the base line and the number of measurements taken.
- A higher number of measurements will reduce the probable error, as it increases the level of confidence in the measurement.
- The probable error is used to determine the accuracy of measurements and to ensure that they meet the required specifications.
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A base line was measured under certain condition and was found to be 250 -0.04 m . if another base line of length 1000m was measured under same conditions. The probable error of second line?
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A base line was measured under certain condition and was found to be 250 -0.04 m . if another base line of length 1000m was measured under same conditions. The probable error of second line? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A base line was measured under certain condition and was found to be 250 -0.04 m . if another base line of length 1000m was measured under same conditions. The probable error of second line? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A base line was measured under certain condition and was found to be 250 -0.04 m . if another base line of length 1000m was measured under same conditions. The probable error of second line?.
A base line was measured under certain condition and was found to be 250 -0.04 m . if another base line of length 1000m was measured under same conditions. The probable error of second line? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about A base line was measured under certain condition and was found to be 250 -0.04 m . if another base line of length 1000m was measured under same conditions. The probable error of second line? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A base line was measured under certain condition and was found to be 250 -0.04 m . if another base line of length 1000m was measured under same conditions. The probable error of second line?.
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