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Least count on main scale in vernier theodolite is ______
20'
20''
20┬░
1''
20'
In a standard vernier theodolite, the main scale is typically graduated into divisions of 20 minutes (20'). The vernier scale is then designed to subdivide these divisions to provide a finer measurement, commonly resulting in a least count of 20 seconds (20'').
In a standard vernier theodolite, the main scale is typically graduated into divisions of 20 minutes (20'). The vernier scale is then designed to subdivide these divisions to provide a finer measurement, commonly resulting in a least count of 20 seconds (20'').
LC=nSтАЛ тАФ where S is the smallest division on the main scale and n is the number of vernier divisions.
LC=SтИТV тАФ the difference between one main scale division and one vernier scale division.
The principle of the vernier scale relies on the difference between the main scale division (S) and the vernier scale division (V). The least count is defined as LC=SтИТV. For a theodolite where the main scale is divided into 20' increments, the vernier is graduated such that (nтИТ1) divisions of the main scale are divided into n parts on the vernier scale.
The main scale of a standard surveyor's theodolite is usually graduated to 20'.
The least count of the instrument is the smallest angle that can be read directly.
Vernier theodolites utilize a vernier scale to achieve higher precision than the main scale alone.
The term ' refers to minutes and '' refers to seconds of an arc.
Allows for high-precision angular measurements in field surveying.
Mechanical simplicity compared to optical or electronic theodolites.
Prone to parallax errors during reading.
Requires manual interpolation, which is slower than electronic readouts.
Triangulation and traverse surveying.
Laying out horizontal and vertical angles in construction projects.
Option B (20'') is the Least Count of the instrument, not the main scale division.
Option C (20┬░) is an extremely coarse measurement not found on standard surveying equipment.
Option D (1'') is typically associated with high-precision microptic or electronic theodolites.
A is correct тАФ The main scale of a standard vernier theodolite is typically graduated into divisions of 20 minutes (20').
Always distinguish between the Main Scale graduation (often in degrees/minutes) and the Least Count of the instrument (usually in seconds), as examiners frequently test this distinction.
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