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The error due to eccentricity of inner and outer axes can be eliminated by
- a)reading both verniers and taking the mean of the two
- b)taking both face observations and taking the mean of the two
- c)double sighting
- d)taking mean of several readings distributed over different'portions of the graduated circle.
Correct answer is option 'A'. Can you explain this answer?
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The error due to eccentricity of inner and outer axes can be eliminate...
Error due to eccentricity of inner and outer axes means that the centre of graduated horizontal circle does not coincide with the centre of vernier plate.
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The error due to eccentricity of inner and outer axes can be eliminate...
Explanation:
The eccentricity of inner and outer axes in a theodolite can cause errors in angular measurements. However, this error can be eliminated by taking the mean of the two vernier readings. This is done by reading both verniers and taking the average of the two values. This method ensures that the error due to eccentricity is distributed equally on both sides of the measurement and hence, the mean value obtained is more accurate.
Advantages of taking the mean of both vernier readings:
1. Eliminates eccentricity error: The error due to eccentricity of inner and outer axes is eliminated by taking the mean of both vernier readings.
2. Increases accuracy: Taking the mean of both vernier readings increases the accuracy of the measurement.
3. Easy to perform: This method is easy to perform and can be done quickly.
4. Saves time: By taking the mean of both vernier readings, the need for additional measurements is reduced, saving time.
Disadvantages:
1. Requires precision: This method requires precision in reading both verniers accurately.
2. Limited to theodolites with two verniers: This method can only be used for theodolites with two verniers.
Conclusion:
Taking the mean of both vernier readings is an effective method to eliminate the eccentricity error in theodolites. This method can increase the accuracy of angular measurements and is easy to perform. However, it requires precision in reading both verniers accurately and can only be used for theodolites with two verniers.
The eccentricity of inner and outer axes in a theodolite can cause errors in angular measurements. However, this error can be eliminated by taking the mean of the two vernier readings. This is done by reading both verniers and taking the average of the two values. This method ensures that the error due to eccentricity is distributed equally on both sides of the measurement and hence, the mean value obtained is more accurate.
Advantages of taking the mean of both vernier readings:
1. Eliminates eccentricity error: The error due to eccentricity of inner and outer axes is eliminated by taking the mean of both vernier readings.
2. Increases accuracy: Taking the mean of both vernier readings increases the accuracy of the measurement.
3. Easy to perform: This method is easy to perform and can be done quickly.
4. Saves time: By taking the mean of both vernier readings, the need for additional measurements is reduced, saving time.
Disadvantages:
1. Requires precision: This method requires precision in reading both verniers accurately.
2. Limited to theodolites with two verniers: This method can only be used for theodolites with two verniers.
Conclusion:
Taking the mean of both vernier readings is an effective method to eliminate the eccentricity error in theodolites. This method can increase the accuracy of angular measurements and is easy to perform. However, it requires precision in reading both verniers accurately and can only be used for theodolites with two verniers.
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The error due to eccentricity of inner and outer axes can be eliminated bya)reading both verniers and taking the mean of the two b)taking both face observations and taking the mean of the twoc)double sightingd)taking mean of several readings distributed over different'portions of the graduated circle.Correct answer is option 'A'. Can you explain this answer?
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