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WorksheetsDay 114-Jan 24-worksheet-Btech-Area & volume calc,Theory of erro
Total questions: 15
Worksheet time: 9mins
Which method of area calculation is most accurate when the number of ordinates is odd and divisions are even?
Trapezoidal rule
Average ordinate rule
Simpson’s one-third rule
Mid-ordinate rule
In the Trapezoidal rule, the first and last ordinates are:
Fully added
Multiplied by 4
Ignored
Taken with half weight
Which instrument measures the area of an irregular boundary directly from a map?
Pantagraph
Sextant
Planimeter
Hand level
The pantagraph works on the principle of:
Parallelogram law
Similar triangles
Least squares
Equal ordinates
Which type of error always has the same sign and magnitude under similar conditions?
Mistake
Accidental error
Systematic error
Residual error
In DMD method, area of each triangle or trapezium is calculated as:
Latitude × Departure
Latitude × DMD
Departure × DPD
Half × Base × Height
Which formula is used for volume calculation when cross-sections are odd in number?
Trapezoidal formula
Average end area
Prismoidal formula
Contour formula
Accidental errors can be either positive or negative and follow the laws of probability.
True
False
Hand level is mainly used for precise levelling and permanent benchmarks.
True
False
The value which has the highest chance of being true is called the (a) value.
Abney level is mainly used for measuring (a) of ground.
Probable error of an average decreases with increase in the number of (a) .
Offsets at equal interval of 20 m are 4 m, 5 m, 6 m, 7 m and 8 m. Calculate the area by mid-ordinate rule.
(a)
The probable error of a single observation of unit weight is ±3 mm. Find probable error of the mean of 9 observations.
(a)
Two cross-sectional areas are 12 m² and 18 m², spacing = 10 m. Find volume by trapezoidal formula.
(a)
