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How many the least reading for angles can be measured by micrometer theodolite?
20'
1''
1'
20''
1''
A micrometer theodolite is a precise surveying instrument used for measuring horizontal and vertical angles ┬╖ The use of an optical micrometer instead of a vernier scale allows for significantly higher precision, enabling it to read angles as fine as 1'' (one arc-second).
A micrometer theodolite is a precise surveying instrument used for measuring horizontal and vertical angles ┬╖ The use of an optical micrometer instead of a vernier scale allows for significantly higher precision, enabling it to read angles as fine as 1'' (one arc-second).
LC=nSтАЛ тАФ where S is the value of the main scale division and n is the number of divisions on the micrometer drum.
The optical micrometer works by moving a parallel glass plate in front of the objective lens or the reading scale ┬╖ This shift displaces the image of the graduated circle, allowing the observer to bridge the gap between the main scale graduation and the index mark, precisely measuring the fraction of the main division.
Micrometer theodolites are used in triangulation and high-precision surveying.
The optical micrometer eliminates the human error associated with reading vernier scales.
Higher precision instruments are essential for establishing primary geodetic control networks.
High accuracy in angular measurements.
Reduced parallax and reading errors compared to vernier instruments.
Expensive and complex construction.
Requires skilled handling and regular calibration.
Geodetic surveying
Large-scale engineering projects
Tunnel and bridge alignment
Vernier theodolites typically have a least count of 20'' or 1'.
Micrometer theodolites represent the higher-end instruments in optical surveying.
B is correct тАФ The micrometer theodolite is designed for high-precision measurement with a least count of 1 arc-second (1'').
Remember that in surveying, the 'least count' is inversely proportional to the degree of precision; micrometer instruments are inherently more precise than vernier instruments.